SOLUTION: 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 ra

Algebra ->  Probability-and-statistics -> SOLUTION: 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 ra      Log On


   

Question 1027998: 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.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For three children the possible outcomes are,
BBB=3
BBG=2
BGB=2
BGG=1
GBB=2
GBG=1
GGB=1
GGG=0
So the probability distribution is,
0, 1/8
1, 3/8
2, 3/8
3, 1/8
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I used an EXCEL spreadsheet.
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