If a family decides to have children until their second boy is born what is the...

Question

Question

If a family decides to have children until their second boy is born what is the number of girls the family is expected to have?

Answer 1

Answer #1

here this follows negative binomial distribution with parameter r =number of boys required =2 and p=probabiltiy of a boy =0.5

expected number of total children =r/p=2/0.5 =4

since number of girls are 2 less than total number of children

therefore expected number of girls =E(x-2) =4-2 =2

Answer 2

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