Let the random variable x represent the number of girls in a

Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.45. The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls?

x,P(x)
0,0.166
1,0.408
2,0.334
3,0.092

No, because the probability of having 3 girls is less than or equal to0.05.

No, because the probability of having 3 girls is greater than 0.05.

Yes, because the probability of having 3 girls is greater than0.05.

Yes, because the probability of having 3 girls is less than or equal to0.05.

Solution

It is not unusual because 0.092 is greater than 0.05.

No, because the probability of having 3 girls is greater than 0.05.