A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
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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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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Step 1: Determine the joint PMF of X and Y is
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Step 2: Calculate he marginal pmf of X and Y:
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Step 3: Calculate he conditional distribution of X|Y=2:
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