Question: 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

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.

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