In a lot of 10 components, 2 are sampled at random for inspection. Assume that in fact exactly 2 of the 10 components in the lot are defective. Let X be the number of sampled components that are...

In a lot of 10 components, 2 are sampled at random for inspection. Assume that in fact exactly 2 of the 10 components in the lot are defective. Let X be the number of sampled components that are defective. a) Find P(X = 0). b) Find P(X = 1). c) Find P(X = 2). d) Find the probability mass function of X. e) Find the mean of X. f) Find the standard deviation of X.