The joint pmf of two discrete random variables, X and Y, is given in the following table: x 1 3 4 .02 .02 .05 .02 3 .02 .05 .20 .04 4 .02 .02 .04.10 (a) Find the marginal pmfs of X and Y. (b) Find the conditional pmf of X given Y = 1. y 1 2 .05 2.05 .20 .10

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The joint pmf of two discrete random variables, X and Y, is given in the following table:
x
1
3 4
.10
.02 .02
.05
.05
.02
.02 .05 .20 .04
.02 .02 .04 .10
(a) Find the marginal pmfs of X and Y.
(b) Find the conditional pmf of X given Y = 1.
y
1
2
3
4
2
.05
.20
Transcribed Image Text:The joint pmf of two discrete random variables, X and Y, is given in the following table: x 1 3 4 .10 .02 .02 .05 .05 .02 .02 .05 .20 .04 .02 .02 .04 .10 (a) Find the marginal pmfs of X and Y. (b) Find the conditional pmf of X given Y = 1. y 1 2 3 4 2 .05 .20
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