Required information 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: y x 0 1 2 3 4 0 0.03 0.01 0.02 0.01 0.01 123 0.09 0.05 0.08 0.03 0.01 2 0.09 0.05 0.07 0.03 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.04 0.04 0.03 0.02 Find the conditional expectation E(MX = 4). (Round the final answer to four decimal places.) E(YIX=4)

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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:

 

y
x 0 1 2 3 4
0 0.03 0.01 0.02 0.01 0.01
1 0.09 0.05 0.08 0.03 0.01
2 0.09 0.05 0.07 0.03 0.02
3 0.06 0.04 0.07 0.04 0.02
4 0.04 0.04 0.04 0.03 0.02

 

 

Find the conditional expectation E(Y|X = 4). (Round the final answer to four decimal places.)

Required information
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:
y
x
0
1
2
3
4
0
0.03
0.01
0.02
0.01
0.01
123
0.09
0.05
0.08
0.03
0.01
2
0.09
0.05
0.07
0.03
0.02
3
0.06
0.04
0.07
0.04
0.02
4
0.04
0.04
0.04
0.03
0.02
Find the conditional expectation E(MX = 4). (Round the final answer to four decimal places.)
E(YIX=4)
Transcribed Image Text:Required information 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: y x 0 1 2 3 4 0 0.03 0.01 0.02 0.01 0.01 123 0.09 0.05 0.08 0.03 0.01 2 0.09 0.05 0.07 0.03 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.04 0.04 0.03 0.02 Find the conditional expectation E(MX = 4). (Round the final answer to four decimal places.) E(YIX=4)
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