Question: Suppose X and Y are random variables with joint density function (a) Verify that f is indeed a joint density function. (b) Find the following

Suppose X and Y are random variables with joint density function

(0.le 0.5r+0.2) if x> 0, y> 0 f(x, y) = otherwise

(a) Verify that f is indeed a joint density function.

(b) Find the following probabilities.

(i) P(Y ≥ 1)

(ii) P(X ≤ 2, Y ≤ 4)

(c) Find the expected values of X and Y.

(0.le 0.5r+0.2) if x> 0, y> 0 f(x, y) = otherwise

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