Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is ggb, then R(ggb)=1. Suppose that the random variable X is defined in terms of R as follows: X=R-R-4. The values of X are thus: Outcome bggggbbgbbbgbbbggggbggbb Value of -4-4-6 -6-10 -4 -4-6 X Calculate the probability distribution function of X, i.e. the function py -(x). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X I P) olo

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Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys"
(b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For
example, if the outcome is ggb, then R(ggb)=1. Suppose that the random variable X is defined in terms of R as follows: X=R-R-4. The
values of X are thus:
Outcome bggggbbgbbbgbbbggggbggbb
Value of
-4-4-6-6 -10 -4-4-6
Calculate the probability distribution function of X, i.e. the function pv(x). First, fill in the first row with the values of X. Then fill in the
appropriate probabilities in the second row.
Value x of X MIO
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O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
96
Transcribed Image Text:Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of boys in each outcome. For example, if the outcome is ggb, then R(ggb)=1. Suppose that the random variable X is defined in terms of R as follows: X=R-R-4. The values of X are thus: Outcome bggggbbgbbbgbbbggggbggbb Value of -4-4-6-6 -10 -4-4-6 Calculate the probability distribution function of X, i.e. the function pv(x). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X MIO Submit Assignment Contie O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy 96
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