1) If Var(X-Y) = 2, Var(X+Y) = 4, E(X) = 3 and E(Y) = 1, than what is E(XY)? 2) If X and Y are independent random variables with, E(X)=0= E(Y), show that Var(XY) = Var(X) x Var(Y).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Hello there plz solve this math question 

1) If Var(X− Y) = 2, Var(X + Y) = 4, E(X) = 3 and E(Y) = 1, than what is
E(XY)?
2) If X and Y are independent random variables with, E(X)=0= E(Y),
show that Var(XY) = Var(X)× Var(Y).
Transcribed Image Text:1) If Var(X− Y) = 2, Var(X + Y) = 4, E(X) = 3 and E(Y) = 1, than what is E(XY)? 2) If X and Y are independent random variables with, E(X)=0= E(Y), show that Var(XY) = Var(X)× Var(Y).
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