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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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
Transcribed Image Text: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).
=
Transcribed Image Text: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). =
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