O) Let X & Y have the joint probability function f(x, y) = 2, 0≤x≤ y ≤ 1, i) Find E(Y|X = x). What is VAR(Y|X = x)? ii) Find E(XIY = y). What is VAR(X|Y = y)? iii) What is COV(X, Y)?

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Please answer i,i,ii, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.
O) Let X & Y have the joint probability function f(x, y) = 2, 0≤x≤ y ≤ 1,
i) Find E(Y|X = x). What is VAR(Y|X = x)?
ii) Find E(XIY = y). What is VAR(XIY = y)?
iii) What is COV(X, Y)?
Transcribed Image Text:O) Let X & Y have the joint probability function f(x, y) = 2, 0≤x≤ y ≤ 1, i) Find E(Y|X = x). What is VAR(Y|X = x)? ii) Find E(XIY = y). What is VAR(XIY = y)? iii) What is COV(X, Y)?
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