A production process produces electronic component, parts. It has presumably been established that the probability of a defective part is 0.01. During a test of this presumption, 500 items are sampled randomly and 15 defective out of the 500 were observed.

(a) What is your response to the presumption that the process is 1% defective? Be sure that a computed probability accompanies your comment.

(b) Under the presumption of a 1% defective process, what is the probability that only 3 would be found defective?

(c) Do (a) and (b) again using the Poisson approximation