Question

Parents have always wondered about the sex of a child before it is born. Suppose that the probability of having a male child was 0.5 , and that the sex of one child is independent of the sex of other children. What is the probability of having exactly 2 girls out of 4 children? Round your answer to four decimal places.

Answer 1

Parents have always wondered about the sex of a child before it is born. Suppose that the probability of having a male child was 0.5 , and that the sex of one child is independent of the sex of other children. What is the probability of having exactly 2 girls out of 4 children? Round your answer to four decimal places.

P( boy)= P( girl) =0.5

n=4

Binomial distribution used.

P( x=2) = 0.3750

Binomial Probabilities
Data
Sample size	4
Probability of an event of interest	0.5
Statistics
Mean	2
Variance	1.0000
Standard deviation	1.0000
Binomial Probabilities Table
	X	P(X)
	0	0.0625
	1	0.2500
	2	0.3750
	3	0.2500
	4	0.0625