Suppose you have joint random variables X and Y. a) If a problem does not state anything about whether the variables are independent or not, can we assume it? Yes O No b) How would you calculate Cov(X,Y) if we have no information about independence? О Е (XҮ) — Е(X)E(Y) — 0 - О Е (XY) — Е(Хх)E(Y) c) If random variables X and Y are independent, how would you calculate Cov(X,Y)? О Е (XҮ) — Е(X)E(Y) — 0 - О Е (XҮ) — Е(X)E(Y)

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A: Note: As per you request, we have helped you solve only Part (iv) of the question.

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Q: (ii) o Find

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A: X and Y are independent U(0,1) random variables:Objective: Show that:

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A: The expectation formula is as follows:

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Q: Var(X – Z) Drag answer here E(4Y - 2Z) Drag answer here Var(2X + Y)

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

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