Let the random variable x represent the number of girls in a family with three c
ID: 3291113 • Letter: L
Question
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 0.36. 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? A. mu = 1.08 B. The table is not a probability distribution. Find the standard deviation of the random variable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sigma = B. The table is not a probability distribution.Explanation / Answer
Mean = 0*0.262 + 1*0.442 + 2*0.249 + 3*0.047
= 1.08
Variance = (02*0.262 + 12*0.442 + 22*0.249 + 32*0.047) - (1.081)2
= 1.861 - 1.166 = 0.695
Standard deviation = sqrt(variance)
= sqrt (0.695)
= 0.83
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.