e) The density function of a certain random variable X is given by -1(1- x)*-,if 0 0. i) Derive the expected value of X. ii) Derive the variance of X.

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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: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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