GenderSelection: In a test of the MicroSofrt method of genderselection, 51 babie

Question

GenderSelection: In a test of the MicroSofrt method of genderselection, 51 babies are born to couples trying to have baby boys,and 39 of those babies are boys. If the gender selection method has no effect and boys andgirls are equally likely, find the mean and standard deviation forthe number of boys born in groups of 51. GenderSelection: In a test of the MicroSofrt method of genderselection, 51 babies are born to couples trying to have baby boys,and 39 of those babies are boys. If the gender selection method has no effect and boys andgirls are equally likely, find the mean and standard deviation forthe number of boys born in groups of 51.

Explanation / Answer

probability of having a baby boy = p = 39 / 51 = 0.765 probability of having a baby girl = q = 1- 0.765 = 0.235 n = 51 n = 51 mean for the number of boys born in groups of 51 = n x p= 51 x 0.765 = 39.015 standard deviation for the number of boys born in groups of 51= (npq) = (51 x 0.765 x 0.235) = 9.17

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