Question

A couple wants to have three children. A. Construct a probability distribution for the number of...

A couple wants to have three children.

A. Construct a probability distribution for the number of girls in three births

B. Probability of at most 1 girl

C. Probability of more than 2 girls

D. Probability of at least 1 girl.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Let X is a random variable shows the number of girls out of three. Since boys and girls are equally likely so probability of getting a girl is p = 0.5. Therefore X has binomial distribution with parameters n=3 and p=0.5. The pdf of X is

B:

The probability of at most 1 girl is

C:

The probability of more than 2 girls is

D:

The probability of at least 1 girl is

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