 for the K and the 43, that second number so I can copy it down, enter, and then percentify it, number group, percentify, add a couple of decimals, fill handle, double click it down. So now we've got the percents and the total then should add up to 100. I'm gonna delete this to give me my check number, which shouldn't just be 300 divided by 300, but alt, enter, summing it up. And so that adds up then to 100. So then, of course, I can do my frequency distribution and make a chart based on this, right? I can take this if I so choose and say we're going to then pick that up and then insert this time. I'm gonna do a bar chart, charts, bar chart, boom. And there's our frequency. I'm gonna do what we typically do and go to my data on the bar charts and adjust the columns to pick up our columns from zero to 40 and enter. And so there's our frequency. You can see you have a similar, you have a similar look to what we had up top, except the bins are different, right? We have bins of the numbers here, whereas the bins here are 0.02 to 0.03 and so on. So if I wanna compare like to like, then I could adjust this histogram and I could adjust the bins on it. So if I go into the bins, for example, this is from our actual data, you'll recall this came from our actual data. If I adjust the bins on the histogram to have an interval of one. So I'll click on the bins and we're gonna go here and then I'm gonna go to my bin width and change it from three to one. And so there we go. And now you've got something that's capping out at the 50, right? And these two look a little bit more similar now. Okay, so now we're saying, okay, that looks kind of like an exponential distribution situation. So now I could say, well, what if I used my, to make predictions into the future then, I can use my exponential function to get a nice smooth curve that would be easier to use to make predictions with, right? So I'm gonna do this again, I'm gonna say this, but now I'm not gonna use my actual data, but I'm gonna try to make my curve. So x equals arrivals, arrivals, arrivals during one minute. It's gonna be my header. And then I'm gonna say this is xp of x, xpone function that we'll do. Let's start there. I'm gonna select these two, home tab. And then we're gonna go to the font group, black, white, wrap it, center it. So there we have it. I'm gonna make this go from zero down to 40, zero, one, two. Copy that down to 40, just like we did before, 40. And boom. And then I'm gonna use my xpone.disk. So this is gonna be xpone equals xpone.disk. And I'm gonna say that x is gonna be a spill function again. So I'm gonna put my cursor on that zero, control shift down, selecting the entire thing, control backspace, back up to the top, comma, lambda is gonna be one divided by, going to the left, we wanna pick up that six, which is the enter arrival time in minutes, comma. And then I'm gonna scroll to the right just so we can see what we're doing here. We're looking, should it be cumulative or not? We do not want it to be cumulative. Therefore, we're gonna say false, or we can put a zero, close it up, enter, spills it down, selecting the whole column of zero, home tab, number group, and I'll percentify it, adding a couple of decimals. And so there we have it. Now if we compare that to the bins, for example, if I had the one here on the bins, we came out to, with our actual data, 17, versus 14 on the two, the actual data was 10, versus the 11, the actual data was three, versus the 10, 11, and so on, and so forth. So I can then, I can graph this. We can say, okay, let's go ahead and graph this, picking this up, and we're gonna say, pick that up down to here and insert, and we could do another one like this again. I can say, let's do that. And so now we've got that smooth graph using our font. Let's keep it up here for now. We've got that graph, and I will then change the Xs to be my own, so I'm gonna go from zero to 40. So there we have that, okay. So that looks good. And then we might wanna try to put on top of that the actual data, just to compare and contrast. So let's go to the data again. I'm gonna go to the edit tab. Hold on, not edit, add, and I'm gonna also be putting in place the percent of the total, and it's gonna be the series of this series of data. And we'll say, okay, boom. And okay, and okay, so you can see them plotted kind of on top of each other there. If I pull this down, let's pull it down somewhere so it's not on top of everything else. And so there's kind of our comparison. We might want a key on the right, a legend. I'm already a legend, man. Okay, calm down. So you could see the relationship basically. On top of that, so clearly in this case the exponential distribution has some predictive power. So we might wanna use that for projections in the future because it looks like it's following that pattern. So that's the general idea. Let's clean this thing up. Let's make this whole thing blue and bordered, home tab font group. I'm gonna make it bordered and then drop down on the bucket, that blue, if you don't have it, more colors, color wheel, light blue. I'm gonna select these two, control shift down, border blue. These two, control shift down, border blue. And then these three, hold on. Three, control shift down, border blue. And then these two, control shift down, border blue. Let's do it. Oh, not white with the, oh man, you messed it all up. Hold on a second, that needs to be black. And then I can review it, spell checky. Arrivals, arrive X, that's not not a problem. Whatever, get out of here. All right, we can make some of these a little skinnier maybe, the eye can be skinnier. Look how skinny eye is, that should be way skinnier. There's no need for a wide cell to put a skinny eye in. Okay.