If the joint density function of X and Y is f(x, y) = 6e-2x-3y 0 < x < ∞, 0 < y < ∞ and is equal to 0 outside this region, are the random variables independent?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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If the joint density function of X and Y is
f(x, y) = 6e-2xe-
-3y
0 < x <∞, 0 < y < ∞
and is equal to 0 outside this region, are the random variables
independent?
Transcribed Image Text:If the joint density function of X and Y is f(x, y) = 6e-2xe- -3y 0 < x <∞, 0 < y < ∞ and is equal to 0 outside this region, are the random variables independent?
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