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) D 0.125 0 1 0.375 2 0.375 0.125 3 OA. mean: 2.25; standard deviation: 0.76 OB. mean: 1.50; standard deviation: 0.76 OC. mean: 2.25; standard deviation: 0.87 O D. mean: 1.50; standard deviation: 0.87 CHI

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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) Q
0 0.125
1 0.375
2
0.375
0.125
3
A. mean: 2.25; standard deviation: 0.76
B. mean: 1.50; standard deviation: 0.76
C. mean: 2.25; standard deviation: 0.87
D. mean: 1.50; standard deviation: 0.87
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. X P(x) Q 0 0.125 1 0.375 2 0.375 0.125 3 A. mean: 2.25; standard deviation: 0.76 B. mean: 1.50; standard deviation: 0.76 C. mean: 2.25; standard deviation: 0.87 D. mean: 1.50; standard deviation: 0.87
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