A contractor is submitting bids to 3 jobs, A, B, and C. The probabilities that he...

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A contractor is submitting bids to 3 jobs, A, B, and C. The probabilities that he will win each of the three jobs are P(A) = 0.7, P(B) = 0.6, and P(C) = 0.3. Assume events A, B, and C are statistically independent. Let X be the number of jobs the contractor will win. (a) Compute the probability mass function (pmf) and the cummulative mass function of X. (b) Determine P(X ≥ 2) and P(X <3) (c) Find E(X) and V(X). [10] [2.2] [5,6] A contractor is submitting bids to 3 jobs, A, B, and C. The probabilities that he will win each of the three jobs are P(A) = 0.7, P(B) = 0.6, and P(C) = 0.3. Assume events A, B, and C are statistically independent. Let X be the number of jobs the contractor will win. (a) Compute the probability mass function (pmf) and the cummulative mass function of X. (b) Determine P(X ≥ 2) and P(X <3) (c) Find E(X) and V(X). [10] [2.2] [5,6]

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a The possible values of X are 0 1 2 3 PMF of X PX0 107106103 012 PX1 07106103 ... View the full answer