X and Y are two discrete random variables, Y P X P -1 1/3 and P(X² = Y²) = 1. Calculate: (1) the joint pmf of (X,Y); (2) the pmf of Z=XY; (3) PXY 0 1/3 0 1/3 1 2/3 1 1/3

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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X and Y are two discrete random variables,
Y
P
X
P
and P(X² = y²) = 1
(1) the joint pmf of (X,Y);
(2) the pmf of Z=XY;
(3) PXY
-1
1/3
Calculate:
0
1/3
0
1/3
1
2/3
1
1/3
Transcribed Image Text:X and Y are two discrete random variables, Y P X P and P(X² = y²) = 1 (1) the joint pmf of (X,Y); (2) the pmf of Z=XY; (3) PXY -1 1/3 Calculate: 0 1/3 0 1/3 1 2/3 1 1/3
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