A very large shipment of parts contains 11 percent defectives. Two parts are chosen at random from the shipment and checked. Let the random variable X denote the number of defectives found. Find the probability function of X. Answer the following, rounding your answers to four decimal places where appropriate.
a) Find P (X = 0)
(b) Find P(X = 1)
(c) Find (X = 2)
(d) Find the mean of X
(e) Find the variance of X
