(0) f(x,y) = 30xy², Derive the marginal pdf of X. Derive the conditional pdf of Y given X. Find the values of E(Y|X = 0.25) and Var(Y|X = 0.25). x-1

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(1)
f(x,y) = 30xy²,
Derive the marginal pdf of X.
Derive the conditional pdf of Y given X.
Find the values of E(Y|X = 0.25) and Var(Y|X = 0.25).
x-1<y <1-x, 0≤x<1.
Transcribed Image Text:(1) f(x,y) = 30xy², Derive the marginal pdf of X. Derive the conditional pdf of Y given X. Find the values of E(Y|X = 0.25) and Var(Y|X = 0.25). x-1<y <1-x, 0≤x<1.
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