Question: 13. Let R be the bounded region between y = x and y = x2. A random point (X, Y ) is selected from R.

13. Let R be the bounded region between y = x and y = x2. A random point (X, Y ) is selected from R.

(a) Find the joint probability density function of X and Y .

(b) Calculate the marginal probability density functions of X and Y .

(c) Find E(X) and E(Y ).

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