If r is an integer with r 2, define the random variable (i) Prove that r-1

If r is an integer with r ≥ 2, define the random variable

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(i) Prove that r-1 Y = (x + 1) = (x + 1)(x+2) (X+r 1). El E (+) = - = (1-20-14). (ii) Calculate the expectation (1+*)3 and compare this with the quantity E(X)+1