 So, you said to me, when I asked you to complete the feedback form, the following, and thank you very much for completing it. It's not about me. It's about how I support you most of the time. So, some of the questions, I just put them there for the sake of putting them. I'm joking, not for the sake of, but I just also want to know how I'm doing so that I can improve as well as as a tutor for the next group coming. And that's the only way I can learn that there is something that I am doing wrong. So, if I look at the, are you seeing my screen right now? Do you see the graphs in front of me? Yes. Let's make it bigger. So, overall, I am linked to 200 students on my UNISA and on WhatsApp. I have 76 people who joined the WhatsApp group with an exception of one person that I removed yesterday for posting the same thing every time that I keep on telling them not to, and I send them messages privately to say, please remove them. They don't remove it. So, I removed that person because I don't want that kind of activity on the WhatsApp group as well. It derails the papers of the WhatsApp group. So, on there I have 76 participants, but if I compare it to what's happening online, every week online, I only have six students, or less, or more or less. So, I'm glad that there are actually 13 people who responded to the question. And before I pre-posted it on WhatsApp, there were only six people. So, I assume that those six people who posted the way, those who attended the sessions. And what surprises me is not that the majority of you who are here are doing it for the second or for the first time is how many people have attended the session. So, the red and the orange, it shows that the majority of people at least met me online, not physically or physically or anything, but met my voice online and they were able to use the material. If I look at how many number of people who said they used the videos, it makes me happy to know that people are watching them to study, to help them study. But I'm also still worried about those three who don't know how to access them. And that's why I also want to show you how to get there, to see the videos. Because what other way we can assist if we cannot type on my Unisa or on WhatsApp is for you to go and re-watch the videos. Then the other thing, not that this looks good, but what gives me pleasure is that you're saying I know the content with the exception of one who says not sure. But I'm assuming that person never attended many of my tutorials. But that does not mean I must just break. It means it tells me since there are at least two people who still believe that I'm lagging behind. It means I need to do more. I need to do more to assist students, to understand the content in order to support you. Because if I don't know the content, if I don't know how to answer your questions or I can't help you answer the questions, then I'm doing injustice to you. So I'm happy with that one. And here is the challenge. There are people who still believe that I, the Twitter delivery of the content or the presentation made it easy to understand. So three people, let's say two people, two and three, like those who answered two and three because two, I think it was do not agree or disagreeing. And then this was neutral. Therefore, it means I still have a lot to do because if two people still feel that the presentation was not made, didn't make them easy to understand the content, then it means I must find other mechanisms or other ways of making sure that the material shared with you are easy enough for you to be able to understand the content so that you can work through the content on your own. Because UNICEF is an OGM, you will never find someone standing in front of you teaching you like a contact and session. So it means the material we give you needs to be easy, understandable. But also, it cannot just be the material we give you. It means your participation as well. Because how will I know if the material is helping or not if you don't talk to me? If you don't say I don't understand your slide, can you please repeat it or can you give me another example to make sure that I understand what you are saying? You're not telling me all those things so I don't know. I can only know now that people are finding it difficult. So it means next semester I must find another way, not do the same thing. And you will not choose as well if maybe I didn't share with you my private side. I do have a private side where I store all historical material that I have been using. So you will see that there is a transformation in terms of how I present the material based on the feedback that I still get from students. So I am very, very pleased with your responses as well. I can only improve from here on. Interaction, okay. So I don't have to say much about this because every week I ask and I beg and I plead but you still don't want to talk to me. So I was hoping I will find some people who say I don't encourage that. Then it wouldn't mean that maybe I'm not listening enough to you guys. So but there's nothing for me to comment more about and in terms of the enthusiasm that this one person, I'm going to assume that that one person maybe attended once my session or never attended my session. And how do I move that person? How do I need to find ways of making sure that this person does not feel like I am not interested in their studies? I'm not interested in helping them because I am more than interested in making sure that you guys pass and not just pass and get 50%, pass and get like 70, 80, 100% if possible as well. So I am here for you. Not the other way around. You're not here because you're not here for me. I am here for you. So my job is to make sure that you understand your material. So I am still very worried about that one person. Now when it comes to the revision and here is where I am going to, it's going, this is going to help me in terms of the type of assessments that I post on my UNICEF in order to support you in order to give you more practice time. So I can see that you say in terms of this what I'm looking at. The majority of students say study unit one and study unit two and study unit three is not that difficult. Actually I'm studying unit four. That's what you are telling me. You're saying to me those questions are not that difficult. So we do not have to spend more time looking at them, at those questions because the content is not that difficult. The only problem comes when we go on into study unit five. As you can see, the graph changes. It shows you that the orange, the more the orange, the more the difficult because that's what we said. We said, difficult is orange. So you will see that the blue becomes lower, lower, lower and the red increases. But from study unit five, I can clearly see that the majority of you are saying or are telling me that you're struggling with study unit five until study unit 11. So it means every week, the assessment will have more questions based on those study units. So from study unit five until study unit, study unit 11. The other thing I need to also mention is your lecture is going to also give you an online assessment for study unit 11 only. So because you didn't write the exam based on that study unit, so he just going to create a couple of assessments that you can do quick and see if you understand the study unit. But we already did it together. So it's not going to be that difficult because we're just going to apply the same concepts that we used in one of the sessions to answer that study unit online assessment from your lecturer. But I will also include some of the units in the assessment that I'm giving you on a weekly basis. And remember, it's only going to be very small. We're only going to do close to about 10 questions or 20 questions. I think 15 questions should be enough. 10 to 15 questions should be enough every week based on all the study units that you said you're having difficulties with, as you can see. Then the rest, I don't have to even say more about them because I asked you which component of your module you found more difficult. And I can see that it's hypothesis hypothesis hypothesis and discrete. So it still shows the same thing as what you said on the graph. So I thought maybe you will say how to calculate something. And I appreciate the person who said self-discipline is the biggest problem. It's not even about the content that is the problem. It's about your time management. How do you make sure that you are able to do your assessments? Because these assessments, they're only going to benefit you when you go write the exam. Because the more you practice on them, the more you will feel comfortable when you write your exam. And that's it. So the others, these are the things that the plus it means what you enjoyed. I will read that. What I would like to concentrate more on as myself is to go back and look at the delta because that tells me what can I do to improve the tutorials? So everybody says my UNISA platform sucks. So that person says that. There's nothing I can do about it because that is the UNISA platform that we are using for delivering tutorials. And like this one, today is too fast for beginners. So I speak fast and I keep on telling you, if I am too fast for you, please let me know so I can slow down. But you're not talking to me. You're not telling me that. I need to know that I am moving too fast for you so that I can pace myself. But the other thing you must also remember we have different different people that we are a diverse people in the tutorial group. There are those who come with the med skill, those who understand meds. And then we have those who never even did meds at high school or even ever primary. They did meds in primary probably, but it's not as intense as what we're doing right now. So we're different. And when I give the the session plan, I am giving it well in advance in order for you to pace yourself so that you know that this week we're doing this, this week we're doing that and you can go and revise those topics as well. But sometimes people don't understand at the first glance. I also gave you the WhatsApp channel to say you can communicate with me that if I was too fast in class use the WhatsApp to say, oh, but lazy Elizabeth, I struggled in class. I didn't understand anything you said. Can you repeat this and this and this for us? I don't mind doing that, but I cannot just go ahead and do things in time consuming. If I don't know if it's going to benefit you, but you need to talk to me. So those are very valuable insights that you are giving me that I'm going to take back and relook at them. And thank you very much for completing this. Like I said, this is not about breaking or making me look good. If that doesn't benefit me at all, I can only improve from honest feedback. And I can see that the majority of you do give an honest feedback and going once, going twice, going three times. I am done with this. But you can keep on completing the feedback form if you haven't done so. But at least it gave me some feedback. And I like this because then now I know where I need to put more effort in. And I can see that the majority of you are saying hypothesis testing is the most difficult concept. So it means sometimes some way I will just have to do the hypothesis questions and then we can have a session on Saturday or on Friday where we discuss only hypothesis testing. Okay. So with that, I can just stop this sharing and then see if I can log in onto my UNISA again because the activity for today is on my UNISA. Unfortunately, I cannot log in onto my UNISA. It is refusing me to log in. And since I am not a student, it's not going to allow me to request a password. I don't know. Maybe can someone from your side try and log in onto my UNISA and see if it works? Can you please try for me? Because all the work that we need to be doing is on my UNISA. Yeah, I tried from my side. I was able to log on. I'm also able to log on. You are able to log on. I have to get to the home page, to the login page. Okay. So from my side, it keeps on refusing my password. Then me try for the last time. So I think maybe they log me out. They don't want me to work on my UNISA. But is it worth it to refit the password? But I cannot reset my password since I am logged in as a staff member. Let's see if I do show. Then how am I going to see your answers? Hello, Ligu. You don't have even an external device that maybe you can retrieve the person paper from. Maybe we can do them from that external. Hey, that's the thing. I don't know which exam paper I used. Unless if someone wants to share their screen with us, who wants to share their answers with us? Don't worry. We're not going to judge you. No, it doesn't allow us to share from outside. No, I can give you permission to share, to be a presenter as well. The answers you don't get as well. No, I just want you to share the question, as if you're going through the question. Okay. I'm going to make you a presenter. You are now a presenter. See if you are able to share. Oh, there we go. And so, I don't know. So it's not, normally it has a block around it when you're sharing. And this one doesn't have it. So nobody should be able to see. Can you, none of you can see my screen? No, we can't see it not yet. Look at it. Let me try to share again. No, it doesn't look like it's picking up my screen. It indicates that it's sharing, but it doesn't have that red block around it that actually shows that it's being shared. Okay. Let's see. Alternatively, what I can do is find a new exam paper because. Lassie, I saved all the questions individually as attachments. If I upload them in the chat, will you be able to use those? Yes, let's do that. But you are sharing there. Who's sharing now? That's Koleika. Is that you, Koleika? Oh, that's me. We see the Google with the purple thingy. Okay. They are purple roses. So is it showing begin assessment? No. We see in your Google thing, you shared there. Did you share your screen or you shared the Google? Let me see this one. Oh, okay. Let me close that one. Otherwise, in the meantime, while she's still trying to sort that one out, you can post them on the questions. You can put them on the chat. I'm trying to upload them. Sorry. Out. So is somebody else sharing? Nope. I'm uploading them as JP images. Yes, just in case. Koleika. Yes. It doesn't want you to share with us. It should be sharing now. So I've put it on sharing. Nobody can see the assessment on their side. It's not sharing. It's not sharing. Is it possible maybe to do a screenshot then you send it to Lizzie? Then we can do it from maybe question by question. I shouldn't miss, couldn't you? Would that not take longer? Sorry, how can you see? Is it still your Koleika? Yes, it is. There we go. Thank you very much. Yes. But that study you're not far. No, we won't. Go back to the online assessment. It's under the online assessment. Okay, yeah. Wait, wait, wait, wait, wait, wait, wait. Why are you still there? So some people say they don't know where the recordings are. If you go to the online tutorial, you can point there. Koleika, you can be my co-host to show them where the online tutorials are. And you need to scroll down a little bit. So all the sessions, when they are recorded, they will be kept in this. So for all the recorded sessions for content, they are under the recorded sessions. If you click on the link that says recorded sessions, you have all the sessions here. And you can expand on any of them. The recordings are in the, I just minimized them for ease of reference so that you can just go to each one of them. So like on the 19th, there is the recording and you will notice some of them have multiple recordings within it. Because I just put the sessions in smaller components so that you don't spend one hour looking at the same thing. So that if you just want to look at hypothesis for the proportion, you only look at that if you want to look at this, you just look at that. Okay, so that's where the online assessments are. For all the exam preparation sessions, if you go up and go back to the online tutorials, if you click back there on the slide, where it says online tutorials, and you go to exam preparations, and that will be all the recordings for the exam prep. So last week we had one, there are the recordings for last week. For Friday, I think, or Saturday session, I've kept them there. So I will also put for today's session, we will have it there as well. Okay, so let's go to the online assessment. So if you click on online assessments, colleague, click on online assessment. It's online assessment today. Okay, so this is the only one that's available today. Yes, so this is your individual score. It's fine, but let's go to the weight. That's the other thing, because you only have closed it, so you won't be able to see it as well, so pity. Carol, who's the other person? Was it Morissa? Yes, Lizzie, what I did, it doesn't want to send the files in the chat. So what I did was, I know you don't look at WhatsApp during your online sessions, but I did send them to via WhatsApp if you want to share your screen from WhatsApp. Oh, okay. Upload them from WhatsApp. So I uploaded them all into WhatsApp. Yeah, I see that. Sorry, it doesn't want to upload the files in the chat. Yeah, okay. So the other problem I have is my WhatsApp doesn't download. Sorry, Lizzie, are you referring to the online assessment for study unit one to six, the online practice assessment? It's still showing on my side. I can try and see if I can go into it, then maybe I can share my screen. Okay, who is you now? I am Talim, yes, you can show in here. I haven't touched, so that's why it's still showing. Okay, colleague, please you can stop sharing and then I'm going to make the presenter. When do we do that now? Hey, sorry about this. I didn't learn of who will have technical issues today, but it's one of those learning experiences. If I can find your name now, I'm Talim, there we go. Make presenter. So if I can ask, are you going to be able to open up for the assessment so we can redo the study unit one to four? Yes, I will leave them open and then this week I'll open up the study unit. There we go. Thank you very much. And then this week I will also open study unit 7 to 11 and then I will not put the closing date on it, so that is just open. Okay, so you said to me in the assessment, in the feedback, study unit one till study unit four, you find it easy. So this question should be easy. Did you find the answer for this question? Antonin, then it means you will have to select the answers as well as we go along. So let's do this. Let's see if we are able to answer the questions. Were you able to answer? Or if you were not able to answer now, look at the question and select the correct or which one of the following is not a categorical variable or question. I'm sorry, I haven't really, I've just started joining the online tutorials, so I'm still getting appointed with all the study units. I just thought let me up and share the screen. So if you guys want to work through this, it's fine. No, it's fine. I'm not saying you answer the question. This is for the whole group. You are just there to tick when they give an answer. Thank you. When they give an answer, you tick. So guys, let's have the discussion. I've been talking for almost, I don't know how many weeks now. Now it's your turn to talk. Between B and C. Number three. Number three says height of the person and someone says name of internet provider. That's what I hate. So a name of internet provider, internet provider might be Mweb, might be Afrihost, might be C. Yes. So the question was, which one is not a categorical? Remember a categorical variable is those variable that is a good thing to categorize. So the correct answer here should be C. C. Antoline, C is the answer. Yes. And then press next. Following information is collected from an, is the session recorded? Oh yes, it is. The following information is collected from an application from a car loan to a certain bank. Which variables below are quantitative? Antitative are those variables that we can measure or count. So this question, you have to select two or multiple, or it's not a single select. Which one is quantitative? B and C. Okay. The first one is B. And C. And C. Yes. Which of the following is not a goal of a descriptive statistic? You remember what descriptive statistic is? This descriptive statistic is used to summarize data in tables or charts, or organize data in tables or charts. I'm guessing C. Number C. Which one is not a goal for descriptive statistic? Remember there are two branches. There is inferential statistic and there is descriptive statistic. So you're saying Marisa? Your name is Marisa or what is the other name? Clear. Clear. Yes sir. I think I will stick with Marisa. That's fine. Okay. Thank you. So you're saying the answer for this question will be? D. D. D. D. Estimate in the characteristics of the population. Because that is their inferential statistics property. With inferential statistics, we infer or estimate the population parameter based on the statistic or the sample statistic. Okay. Which one of the following statement is incorrect? So you'll have to go through this. This is summarizing in chapter three. Summarizing of numerical data. And here actually we're looking at a histogram. More specifically. You see? C. He says if a histogram has a long tail to the left, it is positively skewed. A long tail to the left tells you it's negatively skewed, right? Because when the tail is to the left, it's negative. When the tail is to the right, it's positive. Yes. So C is the incorrect one. Okay. I can see why you told me that unit one, two, three are very easy. So you are flying on this one. At least if you are going to, you are going to put maybe 10% from Holgo. Yeah, probably. Which of the following statement is not true about the mean? So yeah, we're still also with study unit three. Which one of the following statement is not true about the mean? So what is the mean if we remind ourselves about the mean? The mean is the average. The mean is influenced by outliers. The mean means the sum of all the values divided by how many there are. What else? The mean with the median can tell you also the distribution. And when the mean and the median are the same, we say the distribution is symmetric. When the mean is bigger than the median, we say the distribution is less good. When the mean is smaller than the median, we say the distribution is skewed positively as well. Okay. So after what I've just said, which one did I not mention? Which of the following statement is not true about the mean? C. It's C because we know that the mean is always influenced by the outliers or extreme values. And remember the extreme values or outliers are the values that are far away from the rest of the other values. Yes, C is the correct answer. Now we come to the calculations. Here you cannot just tell me that that is the answer. So you will have to go and calculate this. So we are now in unit 3 where it is the measure of coefficient of variation. Remember how we use the calculator. So I am going to open up the calculator now. Well, so if you have a calculator, remember the steps of using your calculator. Do you still remember them? Yes. Yes. So use those steps to calculate the answer that if you haven't done that, just want to open up my calculator and also... Okay, so let me do this. Did you write the values down? Can I ask who's sharing? Who is sharing? Who's sharing? I am sharing, yes. Yes, so you're going to call out the values for me when I do the exercise. I'm going to stop sharing your site and share nicely from my site so that I can show you the steps. Just want to share my screen. So do you see both my calculators? Yes. Yes. Okay, so I'll start with the cashier because my shop, when I click on it, it will hide my cashier calculator. So you have the data in front of you. The first step that you need to do is to put your calculator to state mode. So on the cashier one, on my one, the state is under number three. On your one, you will follow what your steps are. And because we're doing only one variable, so I'll choose number one. You can call out the values for me. Okay, it is 26.5. 26.5. 23.5. 29.7. 24.8. 21.1. 24.3. 20.4. 22.7. 27.2. 23.7. 24.1. 24.8. And the last one is 28.2. So once you have started your calculator, you'll finish on to your calculator. Then you can press the AC button and go shift. And go find the STA button. So it's on button number one. And I am looking for the bar, which is number four. So I'll just press four. And since I am doing the coefficient of variation, remember it is CV is equals to your S divided by your X bar. My S will be my SX, which is four. I'm just going to press four. And I'm going to divide by, and I go back again. Shift one, four for bars. And I will press two for the X bar. And there is my formula for the coefficient of variation. And I just press equal and multiply by 100. And the answer is X is 10.78. Seven, nine. So you just need to look at the answer if you get the same answer as my one. Okay. So that is the case, your one. Let's do the shop one. My shop calculator was different to the other shop calculators where you have all the values written in green in front of you there. But the steps are almost the same. So we need to take our calculator to state mode on this one. State mode is on number one. And we are interested in SD zero. So we press SD zero. And on this one, the SD zero gives me a table. But on the other calculator, you go, remember, after it goes to state mode, you press the value and then you press the M plus. And then the value M plus, the value M plus. And those who are using the financial calculator, you will press the value and press the E and T button. Value E and T button. Value E and T until you get all of them. So please call out the values. Okay. It's 26.5. 26.5. Sorry, 23.5. 23.5. 29.7. 24.8. 21.1. 24.3. 23. 24.3. Thank you. 20.4. 22.7. 27.2. 27.2. 23.7. 24.1. 24.8. And 28.2. Okay. Also, once you are done, you can just press the on and off button because everything is done. And on this calculator, my set is on the STAT button. The A is written in green. So I'll press the alpha. Like with the sharp one, you will press the alpha and go press the values that you are looking for. So in this instance, the value for your sharp calculator for the other ones and the financial calculator, it will be on button number five and button number four. So for this one, it makes life easier because then I just press alpha and I press the STAT button and it gives me this menu. And I'm going to press zero for statistics because I need to get the statistic measures. And my mean is 24.69. And my standard deviation is 2.6. You write them down, you're going to use those values to calculate your coefficient of variation. So you will say 2.66410133 divide by 24.6923077. And we multiply that by a hundred. And it should give you your answer. And if I scroll down, I can see that it does not provide me with the coefficient of variation. So I just need to calculate it manually. So you say 2.66410733 divide by 24.692307. Zero equals, multiply that by a hundred equals. And you can see that is the same answer. Okay, I'm going to stop sharing and go back to the question. Please share again. So the answer then will be option number A5. And next, then the next question is asking you to consider the flowing data set and they give you the data. And they're asking you which one is incorrect. Remember your quantile or the quartile, you need to calculate them by first finding the position and then finding the quartile. But before you do that, the data needs to be ordered. So this is your chance to order your data from lowest to highest. Once you have ordered your data, remember quartile one. Let's see, they're asking you about quartile one. Quartile one position, you find it by saying n plus one divide by four. Remember that. Quartile one position, you find it by saying n plus one divide by four. Quartile two position, which is the median, you find it by saying n plus one divide by two. Quartile three position, you find it by three, multiply by n plus one. So three into brackets, n plus one to those brackets divide by four. So go ahead and calculate those quartiles. And the other thing they're asking you here is the mean. The mean is the sum of all the values divided by how many they are. I can also use my clever calculator that we have here. I'm going to stop sharing your slide and share the calculator again. And now I'm just only going to share this calculator. Can you all see the calculator, not this calculator? Sorry, I need to stop sharing this one. Because my calculator is taken easy to calculate. So I'm going to, I'm just going to go back and share my screen. So clear the calculator. Let's go back to normal mode. I don't know how to clear this one. So I'm going back to state mode one. It is the only, this latest calculator of sharp way. It has the state there on the top as this capability of storing the data like this. So I can see that it didn't clear the calculator from any stored values. So I can clear them and go back state table two function. This table function mode, one, select two. Okay. So my values to a three, four, three minutes because there's an echo. All I'm saying, don't go and start by new calculator. You can use the same ones that you have and use the formulas. But for the sake of the exercise, I am just going to try it. Oscar, can you please mute your microphone? It creates an echo. Thank you. Four and then six equal seven equal nine equal ten equal fourteen equal and 23 equal. Are there eight or seven? One, two, three, four, five, six, seven, eight. There are eight. I'm missing one. That's 23 equal. Then I can go and do my state alpha state. So I need to go off the calculator then alpha state. And I'm still going to go to the state value. And these are the venues that you need. Your N is eight. The mean, which is X bar is 9.5. You can just double check with how you calculated yours. And the other thing we need is the quotas. So this calculator can give me what my one is and what my two is. So this is my one. You can just double check if double check if that is the correct. So we know that eight plus one equal nine divided by four is 2.25. And we just rounded to two. So this calculator does not calculate it the way we want it. So the answer is four for Quartal one position. Quartal one position is 2.25. And the position is 2.25. Therefore the Quartal will be four because we approximated two to four. Then we approximated to two and the value that is on position two is four. Then we calculate the median. So I'm not going to rely on my calculator. So don't go and buy this calculator. It doesn't calculate it right. It uses its own formulas. So Quartal two, which is eight plus one is nine divided by two is on position 4.5, which is Quartal two on position 4.5. And if I count, 4.5 will be between two values. It's between 1, 2, 3, 4.5. It's between the value of nine and seven. So we're going to take seven and add it to nine. So that will be seven plus nine equals 16 divided by two equals eight. So our median is eight. Quartal one, we found that it's four. Our Quartal two, which is on position 4.5 is eight. And did they ask about Quartal three? Well, let's just go ahead and do that. Which will be eight plus one equals nine times three equals 27 divided by four, which then Quartal three is on position 6.75. Therefore, we estimate it to be on position seven. And when we count one, two, three, four, five, six, seven is on 14. And that will be 14. It will be our Quartal three value. Okay, so don't use the calculator. It's teaching us wrong things. Okay, you can share again the screen. I'm sorry about that. Let's go and answer our question. So we know our N is eight. Our sample size is eight. Our mean is 9.5. Our first Quartal is on position 2.5, which is number four is the Quartal value. And Quartal two is on position 4.5, which is number eight, because we take the average of seven and nine, and Quartal three is on position seven, because it was on 6.75. Therefore, we estimate to be at position seven. And it's Quartal three is 40. So let's see which one of the following statements is incorrect. The median is eight. That's correct. We calculated that. The first Quartal, not the position, but the Quartal is four. That is correct. We find that it's four. The third Quartal, we said, is on position seven. It's 14, and that is correct. The mean is 9.5. That is correct. And the distribution is symmetric. When the distribution is symmetric, it means what? The distribution is symmetric if the mean and the median are the same. So the mean is 9.5. The median is eight. Oscar, sorry? No, I wanted to reply. I thought maybe you were asking. I was asking. I'm too fast. Like someone said, I was too fast. Yes, I was asking your question. So I know, sorry, I must let you wait patiently. Yes. So the distribution is symmetric when the mean and the median are the same. So in this instance, our mean is 9.5. Our median is eight. So it is not symmetrical. So we almost halfway through the questions because we are on question number seven. There are 15 questions. Now this is basic probability. So if we don't finish, we can always carry on tomorrow. We have two hours. So it means tomorrow we might have shorter time. So if the session ends at half past, then tomorrow we'll continue from question number nine until question number 15. Okay, so this is basic probabilities. If you look at this table now, you need to ask yourself what are they giving you in this table? They are giving you decimals. So you need to tell yourself if these are in decimal form, it means these are my probabilities. And it means they gave you all joint probabilities because they gave you all the probabilities inside the table. All what you need to do as well is look at the questions. What are they asking? And if they're asking you for you to answer some sort of calculations, like I can see they're asking the probability of F or O complement, you need to write the formula down. And if there are things that are missing from this, then you need to complete it. And those things are like the total, where you calculate the probability, the simple probability or your marginal probabilities. So before you start everything else, quickly take this table, you calculate the total. It's going to take you less than five minutes to calculate the total. So do the total for the table, total, total for female, total for female complement, which are the males. And then do the total for 15 years and over and the complement of 15 years and over, which is the under 15, calculate that, and then start answering the question. So the first question they're asking you, the probability of making a sale to a customer who is either a female or underage. So most of these questions they're asking you is the probability of, or, which is their additional rule, which is the probability of either or one of those two happening. So yeah, the first one, the female or under. So you're going to say what is female? Female is F and under is O complement. What is the probability of F or O complement? That is the first question. So you can write it the same way as E. You see on E they have that first part of the question on E. That is the question that they're asking you at the top, the probability of F or O complement. And that is given by, so you have to write it up, you have to write the formula. So the formula will be the probability of F plus the probability of O complement minus the probability of F and O complement. So since you wrote the totals quickly there, you have total for the O complement and you have total for female, you can just use those values to calculate that probability. So the first one, probability of F or O complement is given by the probability of female which will be the total plus the probability of O complement which will be the total. When you add 0.475 plus 0.112 will be the probability of O complement minus the probability of female and O complement which is female and O complement which is 0.112. So we're going to find 0.109 plus 0.1 0.109 plus 0.112. Use me the total which is probability of female which is 0 comma 221 plus that's the problem with this because I cannot show you on my screen now. You just have to listen to my voice. The probability of O complement which is under 15 years then it is 0.475 plus 0.112 equals 0.587 minus 0.112. What do you get? 0.221 plus 0.587 minus 0.112. Is it 0.696? Sorry about my silence. I am trying to see if I can do something different so that I can try and type when we are looking at it. I am going to share my screen just now. I have found a better way of doing it now. So you all are able to see my screen right now. Yes, I can see. Yes. Thank you very much. I need to type here total and here you must write the total. So already I have done my total. I am not completing the whole table. So the total for female under is 0.587 and the total for female we found that it is 0.221. And I guess it is very easy to find the other total because it is 1 minus 0.221. This is 0.779 on this side and to find the other total on this side is 1 minus 0.587 which is 0.413. So now for answer number A we are looking for the probability of female or o-complement which we can find it by saying the probability of female plus the probability of o-complement minus the probability of female and o-complement. Our probability of female will be the total which is the simple probability which is 0.587. I am writing on wrong. Probability of female is 0.221. 0.221 because we are looking at all female regardless of whether they are 15 years over or 15 years under. Probability of under 15 regardless of whether the agenda is 0.587 minus the joint probability of female and under which is 0.112. And this is equals to ducaplated 0.221 plus 0.587 minus 0.112 equal to wrong one. 696. Now I forgot to copy the question. The question was incorrect or correct answer. I can't even remember now. So we know that this is incorrect. Then it says even f and even f-complement will be described as mutually exclusive events. Do you agree with that? Yes. They are mutually exclusive events. And then the next one it says four mutually exclusive events. So if I look at this and it says they are exhaustive. So this one here will be f and o or f-complement and o. And this one is f and o. So these are the probabilities f and o, f and o. And this is f-complement and o-complement. And this will be f and o-complement. Let's look at this. All of them if they are included in this then it means they are exhaustive. f-complement and o is the first one. f and o-complement is the second one. f and o-complement is the third one. And f and o-complement is the second one. Therefore they are exhaustive because they include all the categories of these customers. Okay. So then this is correct. The second question it was asking the probability of being May and at least 15 years. So then this day it's calculating the probability of f-complement because f-complement is May and the probability of being at least 15 is over 15 so it is o. f-complement o we calculated from here which is equals to 0.304 and I look at this that is correct. The last one it says the probability of f or o-complement is the same as the probability of one minus the probability of f-complement and o-complement. So we already calculated what this probability is because it was the first probability there. We know that the anti-A should be 0.696. We still need to find out if this is correct. So let's go and find out if that is correct. It says the probability of f and o. f and o is that one so one minus 0.304 what is that? One minus 304 one minus and 304 equals 0.696 therefore that is correct because then the probability of f o-complement is the same as the probability of one minus f-complement and o. That's what that says and that's how you are going to have to find the answers in the exact but you don't have to go through each and every one of them because I forgot what the question was asking so I went through all of them I could have stopped by C but I just wanted to also demonstrate to you how to answer those other questions as well. I'm going to stop right here for today. And I am going to tomorrow we'll continue with the rest of the last six questions that are left. We stopped at question number eight so it means we left with seven questions. Seven questions are still left so we will do them tomorrow because most of those questions probably they require you to do some sort of calculation so it might take us longer. But we might have at least an hour online trying to to finish off those exercises. I will try and sort out my connection issues and my my password and then I don't think they will sort it out over the weekend so it means I don't have to wait for Monday. I'll send the lecturer a not the lecture the academic facilitator my my query and then probably by end of the day they might resolve it. If not I will publish the new assessment by Tuesday and you can also take it then on Friday and Saturday we will discuss it. Remember it will be based on study unit seven until study unit 11. Any question? I can just stop. It's two minutes to half past so we are right on time. Nothing for me. Thank you very much. I hope this session was very valuable for you and we will continue like this. This will be our practice and revision sessions but we first need to go through the the assessment online yourselves and then on Friday and Saturday at least we can end out some of the issues if you are still unsure about some of the questions. There is nothing stopping you from going back. I'm going to as soon as I get my access back I am going to reopen the assessment for those who already submitted. You can go through it as many times as you can. These are practice exercises so there is no harm in you going back and re-looking at the questions again and again and again. Thank you guys and thank you for also taking your time to complete the feedback form and I will see you tomorrow. Thank you very much. Thank you very much. Thank you very much. Thank you very much. Thank you very much.