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 0.04 0.02 3 0.06 0.04 0.07 0.04 0.02 4 0.04 0.03 0.04 0.03 0.02       Find ρ(X, Y). (Round the final answer to four decimal places.)   ρ(X, Y) =

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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 0.04 0.02
3 0.06 0.04 0.07 0.04 0.02
4 0.04 0.03 0.04 0.03 0.02

 

 

 

Find ρ(XY). (Round the final answer to four decimal places.)

 

ρ(XY) =

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