Suppose that the random variables X and Y have the following joint probability density functio f(x, y) = ce-8x-5y, 0 < y < x. (a) Find P(X < 2, Y < }). (b) Find the marginal probability distribution of X. Enter your answer as a symbolic function of x, as in these examples Do not include the range for (which is x > 0).

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Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).

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A: is a continuous random variable following a uniform distribution, that is .

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A: