5)

i: A manufacturing process has 49 customer orders to ll. Each order requires one component part that is purchased from a supplier. However, typically 8% of the components are identied as defective, and the components can be assumed to be independent. (a) If the manufacturer stocks 52 components, what is the probability that the 49 orders can be lled Without reordering components? (b) LetX be the number of good (i.e., non-defective) components among the 52 in stock. Find the mean of X. (C) Find the variance of X [from part (b)]