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Suppose X ~ Exponential(1) and given X = x, Y is a uniform random variable in 0, x , i.e., YX = x ~ Uniform(0,

Suppose X ~ Exponential(1) and given X = x, Y is a uniform random variable in 0, x , i.e., YX = x ~ Uniform(0, x), or equivalently YX ~ Uniform (0, X). a. Find EY. b. Find Var(Y)

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