roblem 38 Let X and Y be jointly normal random variables with parameters ux = 2, 0x= 4. Hy = 1, o = 9, and A R 2 a. Find E[Y|X = 3]. b. Find Var(Y|X = 2). c. Find P(X+2Y < 5|X+Y = 3).
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R2
![Problem 38
Let X and Y be jointly normal random variables with parameters µx = 2,0x=4. HY = 1,
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o = 9, and p = -
2
Y
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a. Find E[Y|X = 3].
b. Find Var(Y|X = 2).
c. Find P(X+ 2Y < 5|X+Y = 3).
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