have during the first 7 years of their marriage. F follows the following probability distribution for a certain rural city. F 1 3 4 or more P(F) 0.15 0.20 0.40 0.25 a. What is the expected count of children for any randomly chosen married lovers? b. What is the standard deviation of the random variable F? c. If each child provides for a P 35,000 tax break, and the head of the family for a married lovers gets 20,000 flat tax breaks for not being single, what is the expected tax benefits for having married and possibly children for a head of family?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Solve completely all parts.
Let F be the random variable representing the count of children of a married lovers would expect to
have during the first 7 years of their marriage.
F follows the following probability distribution for a certain rural city.
F
1
2
3
4 or more
P(F)
0.15
0.20
0.40
0.25
a. What is the expected count of children for any randomly chosen married lovers?
b. What is the standard deviation of the random variable F?
c. If each child provides for a P 35,000 tax break, and the head of the family for a married lovers
gets 20,000 flat tax breaks for not being single, what is the expected tax benefits for having
married and possibly children for a head of family?
Transcribed Image Text:Solve completely all parts. Let F be the random variable representing the count of children of a married lovers would expect to have during the first 7 years of their marriage. F follows the following probability distribution for a certain rural city. F 1 2 3 4 or more P(F) 0.15 0.20 0.40 0.25 a. What is the expected count of children for any randomly chosen married lovers? b. What is the standard deviation of the random variable F? c. If each child provides for a P 35,000 tax break, and the head of the family for a married lovers gets 20,000 flat tax breaks for not being single, what is the expected tax benefits for having married and possibly children for a head of family?
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