Given that x is a hypergeometric random variable with N12 n3

Given that x is a hypergeometric random variable with N=12, n=3, and r=8, compute p(X>=4)

Solution

Here population size is N=12 and sample size is n=3. Number of success in the popualiton is r=8. And we need to compute the probability that number of successes in the sample of size 3 is greater than equal to 4. Which is not possible. So

P(X > =4 )=0