00:01
In this problem, we have been asked to compute the probability of 10 successes in a random sample of size n is equal to 12, obtained from a population of size n is equal to 70 that contains 29 successes.
00:13
So, in this case, we have the hypergeometric distribution.
00:23
And what is the formula for that? we have 8xnnn.
00:29
M.
00:30
This represents the probability in the case of a hypergeometric distribution for x successes in a random sample of size n, and we have the population of size capital n, which contains m successes.
00:44
So what is the formula for this? the formula for this is m choose x times n minus m choose n minus x divided by n choose n.
00:59
So in this case, what is x? that is the number of successes.
01:03
We want to find the probability of 10 successes.
01:06
Small n is given to be 12, capital n is given to be 70, and m is the number of successes in the population...