2.3.3. Let f(x1,x2) = 212, 0 < 1 << 1, zero elsewhere, be the joint pdf of X1 and X2. 0979187 to Houdinib lanigram odd bas Z moviy X to lanq Innoit (a) Find the conditional mean and variance of X1, given X2 = x2, 0 < x2 < 1. (x) (b) Find the distribution of Y = E(X1|X2). (c) Determine E(Y) and Var(Y) and compare these to E(X1) and Var(X1), re- spectively.

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2.3.3. Let f(x1,x2) = 212, 0 < 1 << 1, zero elsewhere, be the joint pdf
of X1 and X2.
0979187 to Houdinib lanigram odd bas Z moviy X to lanq Innoit
(a) Find the conditional mean and variance of X1, given X2 = x2, 0 < x2 < 1.
(x)
(b) Find the distribution of Y = E(X1|X2).
(c) Determine E(Y) and Var(Y) and compare these to E(X1) and Var(X1), re-
spectively.
Transcribed Image Text:2.3.3. Let f(x1,x2) = 212, 0 < 1 << 1, zero elsewhere, be the joint pdf of X1 and X2. 0979187 to Houdinib lanigram odd bas Z moviy X to lanq Innoit (a) Find the conditional mean and variance of X1, given X2 = x2, 0 < x2 < 1. (x) (b) Find the distribution of Y = E(X1|X2). (c) Determine E(Y) and Var(Y) and compare these to E(X1) and Var(X1), re- spectively.
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