1Consider the 3child equally genders experiment Let Xi be th

1.Consider the 3-child, equally genders, experiment. Let Xi be the number of girls on the i^th birth (xi = 0 or 1 for i = 1, 2, or 3.

Show that X = X₁ + X₂ + X₃ is the random variable indicating the total number of girls in the three child family.

Calculate the mean and the variance of Xi ( Since the Xi are identically distributed you need do the calculations only once.)

Solution