Suppose that the random variables X and Y have the following joint probability density function. f(x, y) = ce^-3x-7y, 0

Question

Suppose that the random variables X and Y have the following joint probability density function.
f(x, y) = ce^-3x-7y, 0 < y < x.
(a) Find P(X < 2, Y < 1/8).
(b) Find the marginal probability distribution of X.

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