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12.48 Birth order. A cou- ple plans to have three children. There are eight possible ar- rangements of girls and boys. For ex ample, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely (a) Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements! (b) Let X be the number of girls the couple has. What is the probability that X 2 (c) Starting from your work in part (a), find the distribution of X. That is, what values can X take and what are the probabilities for each value?

math   Statistics-And-Probability   
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-too pose bleh -Th ereore f (G) 3 child r can be o 888 B8G 8G8 BGG 3 2 3

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