00:01
Hey friends, here we are to solve this problem.
00:03
So first of all, we have this, we have in this problem a random sample.
00:07
And from that, a random sample is to be selected from a population that has proportion of successes p equals 0 .24.
00:15
I hope you don't have any problem as such till now.
00:18
But buddy, did you notice that we haven't, you know, written the values of sample sizes.
00:24
You have typed that you, i have to find the mean and standard deviation for the four.
00:31
Of the sampling distribution of p for each of the following sample sizes but there is no sample size so i will discuss the general case and i hope then you will be able to solve each and every part of this problem so let's see how we can solve it so just stay with me here i have assumed that n is on sample size then if i try to find the value of mean then the value of mean can also be written as u p and this value will be equals to nothing but p point two 4.
01:00
Okay, so this is the value of mean for all cases because p value will remain for all the cases of sample size, right? so let's talk about the standard deviation.
01:09
Now, if you will talk about standard deviation, then you are required to follow some formula.
01:14
And that formula will be equals to, uh, let me write that formula, it will be sigma p.
01:19
And that sigma p will be equals to under root of p multiplied 1 minus p over how much that will be? it will be n...