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Suppose that X1 ∼ Geometric(1/3) and X2 ∼ Geometric(1/6). (a) Do you have enough information to...

Suppose that X1 ∼ Geometric(1/3) and X2 ∼ Geometric(1/6).

(a) Do you have enough information to compute the expected value of Y = X1 + X2? If so, do so; if not, explain why not.

(b) Do you have enough information to compute the variance of Y = X1 + X2? If so, do so; if not, explain why not.

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Answer #1

Given here Xı - Geometric(1/3) and X, - Geometric(1/6) X1 Now the p.m.f of X,is P(X2 = x;)=; 3 1 where x = 0,1, 2,.... and th

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