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).
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).
A First Course in Probability (10th Edition)
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd944a7a5-2ae4-45d0-9e06-42347df8ac9e%2F1f1f28a0-1342-4c94-9dc7-22723f9c246f%2Fjm1rst_processed.jpeg&w=3840&q=75)
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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