A mining contractor is submitting bids to 3 jobs, A, B, and C. The probabilities that she will win each of the three jobs are P(A) = 0.5, P(B) = 0.8, and P(C) = 0.2, respectively. Assume events A, B, and C are statistically independent. Let X be the number of jobs the contractor will win.
a) What are the possible values of X?
b) Compute the pmf of X.
c) Determine P(X = 2), P(0 ≤ X ≤ 2).
d) Compute E(X), V(X), and SD(X).