Assume that, in a large population, a family is chosen at random from among those that have three children. Further assume that genders in successive births are independent and that the probability of female child is p. Let Y denote the number of female children in the family obtained.
(a) Obtain PMF of random variable Y.
(b) Employ the FPF and part (a) to find out the probability that the number of female children in the family obtained is exactly one at most one at least one