HW10. MA3160. Due 11/29

Posted on November 27, 2018 by Fabrice Baudoin

Exercise. Let X, Y have joint density f(x,y)=c e^{-x-2y} if x,y \ge 0 and 0 otherwise.

(a)  Find c that makes this a joint pdf:

(b) Find E (X  Y^2 ).
(c) Find Var(X+Y)
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