Assume that the probability a child is a boy is 0.51 and

Chapter 10, Problem 28E

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QUESTION:

Assume that the probability a child is a boy is 0.51 and that the sexes of children born into a family are independent. What is the probability that a family of five children hasa) exactly three boys?________________b) at least one boy?________________c) at least one girl?________________d) all children of the same sex?

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QUESTION:

Assume that the probability a child is a boy is 0.51 and that the sexes of children born into a family are independent. What is the probability that a family of five children hasa) exactly three boys?________________b) at least one boy?________________c) at least one girl?________________d) all children of the same sex?

ANSWER:

Step 1 of 5

The probability that a child is a boy is , so the probability that a child is a girl is .

It is also known that the family has 5 children.

 

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