Question

In: Statistics and Probability

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby.

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 39 couples. Complete parts (a) through (c) below.

a. Find the mean and the standard deviation for the numbers of girls in groups of 39 births.

Solutions

Expert Solution

Given

The probability of girl , p = 0.5

Number of couples, n = 39

Mean = np = 39*0.5 =19.5

Standard deviation =

Sq(n*p*q) = (39*0.5*0.5) = 3.1225


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