00:02
Alright, so here the question says that there is a random sample of size 500 selected from a binomial distribution where probability of success is 0 .6.
00:12
Okay, so here we have been asked to determine the approximate shape of the sampling distribution of sample proportion.
00:18
Now here we have a set our sample size is quite large.
00:21
So we will say that the sampling distribution of the sample proportion is approximately normal, right, right.
00:33
So in this case, we have been asked that what will be the mean and standard deviation of the sampling distribution of sample proportion.
00:40
So in this case, the mean of the sampling distribution of sample proportion will be equal to population proportion which is 0 .6 and the standard deviation this is equal to square root of population proportion into 1 minus p upon n.
00:54
So this is equal to square root of 0 .6 into 1 minus 0 .6 divided by 500 which is equal to 0 .0219.
01:05
Alright, now the next part of the question is to determine the probability that the sample proportion here will be greater than 0 .63...