Suppose gins write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is ggg, then R(ggg) = 3. Suppose that the random variable X is defined in terms of R as follows: X= 2R-2R-1. The values of X are given in the table below. Outcome ggg gbb bgg ggb bbg bgb bbb gbg Value of X 11 -1 3 -1 -1 -1 3 圖 Calculate the values of the probability distribution function of X, i.e. the function py. 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 An Px (x) Explanation Check C2022 McGraw Hill LLC A Rights Reserved Terms of Use Pivacy Center Accessibility 11:00 AM 3/21/2022 hp

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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 girls in each outcome. For example, if the outcome is ggg, then
R(ggg)=3. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R-1. The values of X are given in the table below.
Outcome ggg gbb bgg ggb bbg bgb bbb gbg
Value of X 11
-1
3
-1 -1
-1
3
Calculate the values of the probability distribution function of X, i.e, the function py, 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 W
A
Px (x)
Explanation
Check
C2022 McGraw Hill LLC. A Rights Reserved. Terms of Use Pivacy Center Accessibility
11:00 AM
3/21/2022
hp
poq LA1956x
Transcribed Image Text:Español 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 girls in each outcome. For example, if the outcome is ggg, then R(ggg)=3. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R-1. The values of X are given in the table below. Outcome ggg gbb bgg ggb bbg bgb bbb gbg Value of X 11 -1 3 -1 -1 -1 3 Calculate the values of the probability distribution function of X, i.e, the function py, 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 W A Px (x) Explanation Check C2022 McGraw Hill LLC. A Rights Reserved. Terms of Use Pivacy Center Accessibility 11:00 AM 3/21/2022 hp poq LA1956x
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