In a binomial distribution with n12 and p06 Find the followi

In a binomial distribution with n=12 and p=0.6. Find the following probabilities

A manufacturing of window frames knows from long experience that 5 percent of the production will have some type of minor defect that will require an adjustment. What is the probability that in a sample of 20 window frames: a. None will need adjustment?

Solution

a)

P(no need for adjustment) = 1 - 0.05 = 0.95

Hence,

P(all 20 don\'t need adjustment) = 0.95^20 = 0.358485922 [ANSWER]