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 wewrite 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 bgb, thenR(bgb) = 1. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R´ - 3. The values of X are given in the table below.Outcome ggg gbg bgb bbb| bbg bgg ggb gbbValue of X -15| -7-3-3-3-7-7-3Calculate 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 appropriateprobabilities in the second row.믐Value x of XPx (x)

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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 Px (x)

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 Px (x)

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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Question

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 bgb, then
R(bgb) = 1. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R´ - 3. The values of X are given in the table below.
Outcome ggg gbg bgb bbb| bbg bgg ggb gbb
Value of X -15| -7
-3
-3
-3
-7
-7
-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.
믐
Value x of X
Px (x)

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