A service facility operates with two service lines On a rand

A service facility operates with two service lines. On a randomly selected day, let X be the proportion of time that the first line is in use whereas Y is the proportion of time that the second line is in use. Suppose the joint probability density function for (X,Y) is

1. A service facility operates with wo 1. A service facility operates with two service lines. On a randomly selected day, let Xbe the proportion of time that the first line is in use whereas Yis the proportion of time that the second line is in use. Suppose the joint probability density function for (XY) is 0, otherwise. a. Compute the probability that neither line is busy more than half the time. b. Find the marginal distribution ofX, gfx). C. Find the probability that the first line is busy more than 75% of the time. d. Find the expected value of the function XY, ECXY).

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