1. Let Y Use the laws of total expectation and total variance and the fact that E(X) = 0 and Var(X) = 0 to show that E(Y) = 0 and Var(Y) = 0(1+0). Poisson(X) where X Exponential(0) and 0 > 0 is a fixed scale parameter.

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Q: 5. Let X have the pdf {(x + 1) -1 <x < 1 f(x) = elsewhere. Find the mean and the variance of X.

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Q: 3x (1+x) Q2. If f(x) = ; 0<x <2 denotes the pdf of a continuous random variable, find mean 14 and…

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Q: The conditional expectation of Y given X-x is x 00 The conditional variance of Y given X-x is ²

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