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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 gbg, then R(gbg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R-4. The values of X are given in the table below. Outcome gbb bgg bbg ggb bbb bgb gbg ggg Value of X 0 -4 -4 8 -4 -4 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. Valuex of X Px (x) 口| 0 olo

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 gbg, then R(gbg) = 1. Suppose that the random variable X is defined in terms of R as follows: X=2R-2R-4. The values of X are given in the table below. Outcome gbb bgg bbg ggb bbb bgb gbg ggg Value of X 0 -4 -4 8 -4 -4 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. Valuex of X Px (x) 口| 0 olo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 gbg, then R(gbg) = 1. Suppose that the random variable X is defined in terms of R as follows: \( X = 2R^2 - 2R - 4 \). The values of X are given in the table below. | Outcome | gbb | bgg | bbg | ggb | bgb | gbg | ggg | |---------|-----|-----|-----|-----|-----|-----|-----| | Value of \( X \) | 0 | -4 | 0 | -4 | 8 | 0 | -4 | -4 | Calculate the values of the probability distribution function of X, i.e., the function \( p_X \). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Below the text, there's a diagram divided into blocks where the value \( x \) of \( X \) is displayed as a question mark placeholder, and a row below awaiting the insertion of the probabilities \( p_X(x) \). The specific probability boxes are unfilled, allowing for completion.
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 gbg, then R(gbg) = 1. Suppose that the random variable X is defined in terms of R as follows: \( X = 2R^2 - 2R - 4 \). The values of X are given in the table below. | Outcome | gbb | bgg | bbg | ggb | bgb | gbg | ggg | |---------|-----|-----|-----|-----|-----|-----|-----| | Value of \( X \) | 0 | -4 | 0 | -4 | 8 | 0 | -4 | -4 | Calculate the values of the probability distribution function of X, i.e., the function \( p_X \). First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Below the text, there's a diagram divided into blocks where the value \( x \) of \( X \) is displayed as a question mark placeholder, and a row below awaiting the insertion of the probabilities \( p_X(x) \). The specific probability boxes are unfilled, allowing for completion.
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