Question: Let 2X and 3Y be i.i.d. standard normal random variables (i.e., 2X N (0, 1), 3Y N (0, 1), and 2X, 3Y are independent). With

Let 2X and 3Y be i.i.d. standard normal random variables (i.e., 2X N (0, 1), 3Y N (0, 1), and 2X, 3Y are independent). With or without computation, find the following conditional expec- tations. Show your complete reasoning to receive full credits. Find E[X^3 |X=x]

How does this conditional expected value differ from finding the covariance?

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