3. Let Xi and X: have joint pdf a. b. e. d. e. 0

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3. Let Xi and X: have joint pdf
a.
b.
e.
d.
e.
0<x₁, x₂ <1
O.W.
Derive the marginal pdf of X₁.
Derive the conditional pdf of XaXx, and calculate EX1Xx
Please Calculate E[X] and demonstrate that EJECXX)-[X]
Between Var[Xa] and Var[XaXx], which one is bigger?
Calculate P(0<X<3/4X-1/2)
Transcribed Image Text:3. Let Xi and X: have joint pdf a. b. e. d. e. 0<x₁, x₂ <1 O.W. Derive the marginal pdf of X₁. Derive the conditional pdf of XaXx, and calculate EX1Xx Please Calculate E[X] and demonstrate that EJECXX)-[X] Between Var[Xa] and Var[XaXx], which one is bigger? Calculate P(0<X<3/4X-1/2)
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