Let Y, and Y2 have a joint density function given by [3y1 0 < y2 < y1 S 1 elsewhere. 3.1.3. Let Y, and Y, denote random variables. Use the formula E (Y,) = E[E(Y,|Y½)] to find E (Y2). " 3.1.4. Use the marginal density function of Y2 to find E(Y2) to verify the answer in (3.1.3.).

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3.1 Solve the below problem:
(9)
Let Y, and Y2 have a joint density function given by
0 < y2 < y1 S 1
elsewhere.
(3y1
f(v,,y2) = {"
3.1.3. Let Y, and Y2 denote random variables. Use the formula E(Y,) = E[E(Y,|Y2)] to find
E (Y,).
3.1.4. Use the marginal density function of Y, to find E(Y2) to verify the answer in (3.1.3.).
Transcribed Image Text:3.1 Solve the below problem: (9) Let Y, and Y2 have a joint density function given by 0 < y2 < y1 S 1 elsewhere. (3y1 f(v,,y2) = {" 3.1.3. Let Y, and Y2 denote random variables. Use the formula E(Y,) = E[E(Y,|Y2)] to find E (Y,). 3.1.4. Use the marginal density function of Y, to find E(Y2) to verify the answer in (3.1.3.).
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