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The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the rand variable x. X P(x) 0.125 0 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 OC. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76

The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the rand variable x. X P(x) 0.125 0 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 OC. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76

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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The random variable \( x \) represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable \( x \). \[ \begin{array}{c|c} x & P(x) \\ \hline 0 & 0.125 \\ 1 & 0.375 \\ 2 & 0.375 \\ 3 & 0.125 \\ \end{array} \] Options: - A. mean: 1.50; standard deviation: 0.87 - B. mean: 1.50; standard deviation: 0.76 - C. mean: 2.25; standard deviation: 0.87 - D. mean: 2.25; standard deviation: 0.76 (Note: This is purely a textual transcription and does not provide any solutions or preferences for the answers presented.)
Transcribed Image Text:The random variable \( x \) represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable \( x \). \[ \begin{array}{c|c} x & P(x) \\ \hline 0 & 0.125 \\ 1 & 0.375 \\ 2 & 0.375 \\ 3 & 0.125 \\ \end{array} \] Options: - A. mean: 1.50; standard deviation: 0.87 - B. mean: 1.50; standard deviation: 0.76 - C. mean: 2.25; standard deviation: 0.87 - D. mean: 2.25; standard deviation: 0.76 (Note: This is purely a textual transcription and does not provide any solutions or preferences for the answers presented.)
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