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 bbg, then R(bbg) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R-R-3. The values of X are thus: Outcome ggbbbgbgbbbbgbbggggbgbgg Value of -3-5 -5 -9 -5 -3 -3-3 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.

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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 bbg, then
R(bbg) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R-R-3. The values of X are thus:
%3D
|
Outcome ggbbbgbgbbbbgbbggggbgbgg
Value of
-3-5-5 -9-5-3-3-3
Calculate the probability distribution function of X, i.e. the functionpy(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
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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 bbg, then R(bbg) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R-R-3. The values of X are thus: %3D | Outcome ggbbbgbgbbbbgbbggggbgbgg Value of -3-5-5 -9-5-3-3-3 Calculate the probability distribution function of X, i.e. the functionpy(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 Continue Save For Later Submit Assignr O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use| Privacy Acces - e Clinical Progress N.. Zoom ALEKS - Deshuna D.. Surveyor DELL WOHNF6B01QJ2 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtScr
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