please send me answer in typed form strictly prohibited handwritten solution.

A manufacturing process has 51 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 54 components, what is the probability that the 51 orders can be lled without reordering components? (b) Let X be the number of good (1' .e., non-defective) components among the 54 in stock. Find the mean of X. (c) Find the variance of X [from part (b)]