Assume that a procedure yields a binomial distribution with a trial repeated 30 times. Find the probability of getting (a) exactly 5 successes and (b) at most 5 successes, given that the probability...

Extracted text: Assume that a procedure yields a binomial distribution with a trial repeated 30 times. Find the probability of getting (a) exactly 5 successes and (b) at most 5 successes, given that the probability of success is 1/5 on a single trial. Round to three decimal places.