The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table. 2 3 х 0.03 0.01 0.02 0.01 0.01 0.09 0.05 0.08 0.03 0.01 0.04 2 0.09 0.05 0.07 0.02 3 0.06 0.04 0.07 0.04 0.02 0.03 0.02 4 0.04 0.03 0.04 Find the conditional probability mass function Pyxv|4) Find the conditional probability mass function pyx(x | 3) Find the conditional expectation E(Y|X = 4). d. a. b. C. Find the conditional expectation E(X | Y 3). =
The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also how many children they had (Y). We show results for those who had no more than 4 children and no more than 4 siblings. Assume that the joint probability mass function is given in the following contingency table. 2 3 х 0.03 0.01 0.02 0.01 0.01 0.09 0.05 0.08 0.03 0.01 0.04 2 0.09 0.05 0.07 0.02 3 0.06 0.04 0.07 0.04 0.02 0.03 0.02 4 0.04 0.03 0.04 Find the conditional probability mass function Pyxv|4) Find the conditional probability mass function pyx(x | 3) Find the conditional expectation E(Y|X = 4). d. a. b. C. Find the conditional expectation E(X | Y 3). =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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