Question: Consider the joint probability density function f (x, y) = kx, x 1 < y < 1 x, 0 < x < 1,

Consider the joint probability density function f (x, y) = kx, x − 1 < y < 1 − x, 0 <

x < 1, for random variables X and Y.

(a) Show that k = 3.

(b) Find the marginal density of Y.

(c) Find the variance of X.

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