Question: Assume that the sex of a child is independent of the sex of another child in a family and that each child's probability of being male is 0.5. Let X_i be 1 if the i^th child is female and X sub i be 0 if i^th child is male. Let X be the total number of female children in a family (X = X₁ + ...+ X_n)

Assuming that X has a binomial distribution, calculate the probability function of X when n = 2. Calculate the mean and the standard deviation of X.