Suppose that in a quality control study it was determined that for a perishable item the number X of defective items follows a binomial distribution...

Suppose that in a quality control study it was determined that for a perishable item the number X of

defective items follows a binomial distribution with n= 20 and p = .10.

a) Find the probability that a sample of 20 contain no more than two defective items.

b) If one were to take many samples of 20 and found the mean number of defectives in each sample,

what should we expect for the mean and standard deviation of the number of defectives?