Question

# 1. Suppose the joint density of X and Y is given by f(x,y) = 6e-3x-2y, if...

1. Suppose the joint density of X and Y is given by f(x,y) = 6e-3x-2y, if 0 < x < inf., 0 < y < inf, 0 elsewhere.

Part A,

Find P( X < 2Y)

Part B,

Find Cov(X,Y)

Part C,

Suppose X and Y have joint density given by

f(x,y) = 24xy, when 0<= x <=1, 0 <= y <=1, 0 <= x+y <=1, and 0 elsewhere.

Are X and Y independent or dependent random variables? why?

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