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.   x ​P(x)   0 0.125   1 0.375   2 0.375   3 0.125

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
 
x
​P(x)
 
0
0.125
 
1
0.375
 
2
0.375
 
3
0.125
 
 
 
 

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Part 1
 
A.
​mean: 1.50; standard​ deviation: 0.76
 
B.
​mean: 2.25; standard​ deviation: 0.76
 
C.
​mean: 2.25; standard​ deviation: 0.87
 
D.
​mean: 1.50; standard​ deviation: 0.87
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