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 4 х 0.01 0.03 0.01 0.02 0.01 0.08 0.09 0.05 0.03 0.01 0.09 0.05 0.07 0.04 0.02 0.06 0.04 0.07 0.04 0.02 4 0.04 0.03 0.04 0.03 0.02 Find the marginal probability mass function of X. a. b. Find the marginal probability mass function of Y. Are X and Y independent? Explain. Find Hx and µy. d. C. Find o, and Oy- e. Find Cov(X, Y). f. Find p(X, Y). g.

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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
4
х
0.01
0.03
0.01
0.02
0.01
0.08
0.09
0.05
0.03
0.01
0.09
0.05
0.07
0.04
0.02
0.06
0.04
0.07
0.04
0.02
4
0.04
0.03
0.04
0.03
0.02
Find the marginal probability mass function of X.
a.
b.
Find the marginal probability mass function of Y.
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 4 х 0.01 0.03 0.01 0.02 0.01 0.08 0.09 0.05 0.03 0.01 0.09 0.05 0.07 0.04 0.02 0.06 0.04 0.07 0.04 0.02 4 0.04 0.03 0.04 0.03 0.02 Find the marginal probability mass function of X. a. b. Find the marginal probability mass function of Y.
Are X and Y independent? Explain.
Find Hx and µy.
d.
C.
Find o, and Oy-
e.
Find Cov(X, Y).
f.
Find p(X, Y).
g.
Transcribed Image Text:Are X and Y independent? Explain. Find Hx and µy. d. C. Find o, and Oy- e. Find Cov(X, Y). f. Find p(X, Y). g.
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