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).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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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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