Let X and Y be two independent random variables satisfying first success d bution FS(p). (a) (b) Define Z₁ = X - Y. Find the PMF of Z₁ and E(Z₁). Define Z₂ = . Find the PMF of Z2 and E(Z2).

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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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A: Since relationship is linear, hence Distribution of  Y = 50 + 3Z1 + 4Z2  is N(50, 25)

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A: i) First part:ii) second part:

Q: Suppose that X and Y are random variables with E(X) = 2 , E(Y) = 5 and E(X²) = 8, E(Y²) = 30 and…

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