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uppose that the genders of the three children of a certain family are soon to be reveale rite gbg, bbb, etc. For each outcome, let R be the random variable counting the num (bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X %3D Outcome bbg gbb gbg bbb bgb|ggg bgg ggb Value of X -2 -2 -3 -3 -2 -6-3 - 3 Calculate the values of the probability distribution function of X, i.e. the function Px Fi probabilities in the second row. Value x of X Px (x)

uppose that the genders of the three children of a certain family are soon to be reveale rite gbg, bbb, etc. For each outcome, let R be the random variable counting the num (bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X %3D Outcome bbg gbb gbg bbb bgb|ggg bgg ggb Value of X -2 -2 -3 -3 -2 -6-3 - 3 Calculate the values of the probability distribution function of X, i.e. the function Px Fi probabilities in the second row. Value x of X Px (x)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 bgg, then R(bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X= 2R-R-3. The values of X are given in the table below. Outcome bbg gbb gbg bbb bgb ggg bgg ggb Value of X -2 -D2 -3 -3 -2 -6 -3 -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 Px (x)
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 girls in each outcome. For example, if the outcome is bgg, then R(bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X= 2R-R-3. The values of X are given in the table below. Outcome bbg gbb gbg bbb bgb ggg bgg ggb Value of X -2 -D2 -3 -3 -2 -6 -3 -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 Px (x)
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