X and Y are independent random variables with PDFS (1 e~x/3 3 1 e-y/2 2 fx(x) : x 2 0 , fy(y) : y > 0 otherwise otherwise a. What is P[X > Y]? b. What is E[XY]? c. What is Cov[X,Y]? Ans. A) 3/7 B) 6 C)0

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X and Y are independent random variables with PDFS
,-x/3
fx(x) = {3
x 2 0
, fy (y) =
se-y/2
= {2
y 2 0
otherwise
otherwise
a. What is P[X > Y]?
b. What is E[XY]?
c. What is Cov[X,Y]?
Ans. A) 3/7 в) 6 С)0
Transcribed Image Text:X and Y are independent random variables with PDFS ,-x/3 fx(x) = {3 x 2 0 , fy (y) = se-y/2 = {2 y 2 0 otherwise otherwise a. What is P[X > Y]? b. What is E[XY]? c. What is Cov[X,Y]? Ans. A) 3/7 в) 6 С)0
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