find the probability of exactly 5 successes in 9 trials of a binomial experiment in which the probability of success in any one trial is 37%

Answer 1

binomial probability formula:

P(x successes in n tries, where probability of success is p):

n! x n-x

---- p (1-p)

x! (n-x)!

For our problem n = 9, x = 5 and p = 0.37. Plug values into above formula to compute probability.