4. Let (X,Y) be distributed with joint pdf ·[1 + xy(x² − y²)] if |x| ≤ 1, [y] ≤ 1, f(x, y) = - £1¹+² 0 otherwise. a. Find the moment generating function of (X,Y).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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4. Let (X,Y) be distributed with joint pdf
·[1 + xy(x² − y²)] if |x| ≤ 1, [y] ≤ 1,
f(x, y) =
- £1¹+²
0
otherwise.
a. Find the moment generating function of (X,Y).
Transcribed Image Text:4. Let (X,Y) be distributed with joint pdf ·[1 + xy(x² − y²)] if |x| ≤ 1, [y] ≤ 1, f(x, y) = - £1¹+² 0 otherwise. a. Find the moment generating function of (X,Y).
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