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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 17 couples. Find the mean for the numbers of girls in groups of 17 births.
The mean value of numbers of girls in groups of 43 births is obtained below:
From the given information, the probability that a girl is 50 \% and the groups consists of 43 number of couples.
That is, n=17 and p=0.50
The probability mass function of X is,
The required mean is,