Suppose that in an electric display sign there are three

Suppose that in an electric display sign there are three light bulbs in the first row and four light bulbs in the second row. Let X denote the number of bulbs in the first row that will be burned out at a specified time t, and let Y denote the number of bulbs in the second row that will be burned out at the same time t. Suppose that the joint p.f. of X and Y is as specified in the following table: Y X 01234 0 0.08 0.07 0.06 0.01 0.01 1 0.06 0.10 0.12 0.05 0.02 2 0.05 0.06 0.09 0.04 0.03 3 0.02 0.03 0.03 0.03 0.04 Determine each of the following probabilities: a. Pr(X = 2) b. Pr(Y ? 2) c. Pr(X ? 2 and Y ? 2) d. Pr(X = Y ) e. Pr(X > Y )