It a and I are positive integers where a ≤ b and X is a random variable that takes valves with equal probability, the powers of 2 in the interval b [2ª, 2º]. Find the expected vawe and variance of x.

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A: Given To prove that

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A: E(X−a)2=E(X−μ+μ−a)2=E((X−μ)+(μ−a))2=E((X−μ)2+2(X−μ)(μ−a)+(μ−a)2)=E(X−μ)2+E(2(X−μ)(μ−a))+E(μ−a)2=E(X−…

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: Given Data: Var(X)=8 Var(Y)=6

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A: Introduction A variable is any characteristic that is being measured.

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