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: yx0123400.030.010.020.010.0110.090.050.080.030.0120.090.050.070.030.0230.060.040.070.040.0240.040.040.040.030.02 Find the conditional expectation E(Y|X = 4). (Round the final answer to four decimal places.) Required informationThe General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had (X) and also howmany 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:yx0123400.030.010.020.010.011230.090.050.080.030.0120.090.050.070.030.0230.060.040.070.040.0240.040.040.040.030.02Find the conditional expectation E(MX = 4). (Round the final answer to four decimal places.)E(YIX=4)

Step 1: Step 1: Find the sum of the "given" value (X = 4). yfx(x)x01234…

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)

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)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

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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