 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that there are 1500 club members, 120 members their children at random to know what type of dance they like. Predict the number one of members who like hip-hop dance in all club members is the prediction appropriate. We know that chosen sample gives us the correct influences about the population if it satisfies the following conditions. And the first condition is sample should be selected at random. The second condition is it should be a representative of the population. And the third condition is it should be large enough to provide accurate data with this key idea. Let us proceed to the solution. In this question we are given that total number of club members are 1500 and a sample of 120 club members were surveyed. And out of these 120 members hip-hop is light bar 22 members, contra is light bar 40 members, tap is light bar 32 members and swing is light bar 26 members. So we are given the total number of club members are 1500 and a sample of 120 members were surveyed. And we are also given that out of these 122 members hip-hop is light bar 22 members, contra is light bar 40 members, is light bar 32 members and swing is light bar 26 members. Now according to the question we have to find the number of members who like hip-hop dance. For this first we find the fraction of members who like hip-hop dance and it is given by number of members like in hip-hop divided by total number of members in the sample. And we know that the number of members like in hip-hop is 22 and the total number of members in the sample is given by 120. So we have the fraction 22 upon 120 which on simplification gives 11 by 60. To find M we multiply the fraction with total number of members that is the fraction 11 upon 60 is multiplied with the total number of members that is 1500 and we get M is equal to 11 into 25 that is 275. So we can say that 275 members like hip-hop here we have got the number of members M as 275. Now we check whether the prediction is appropriate or not. Here as we have seen the population is given by all the 1500 club members and sample is given by 120 club members. And from the key idea we know the three conditions of reasonable samples are sample should be selected at random, it should be a representative of the population and it should be large enough to provide accurate data. And here the sample of 120 members is chosen randomly, it is also a representative of the population and it is large enough to provide accurate data. Since all the three conditions of reasonable sample are being satisfied we can say the prediction is appropriate. This completes our session, hope you enjoyed this session.