A. Find the probability that exactly five men from the sample will develop prostatecancerB. Find the probability that at most one of the men will develop prostate cancer.

According to the prostate cancer foundation, prostate cancer will strike 1 in 6 American men. Then the probability that an American man will develop prostate cancer is = 0.167 . Assume that a random sample of 30 men was taken. 6 Let X = number of american man develop prostate cancer. It should be noted that X has a binomial distribution with rt = 30 and p = 0.167. P(X = x) =30 Cx(0.167)x(0.833)30'x, x = 0,1, 2,...,30