1. Suppose you randomly seleet a family with three ehildren. Assume that births of boys and girls are equally likely. a. How many birth orders are possible? List them in a probability distribution table. (3 points) b. What is the probability of two boys and a girl? (2 points) e. What is the probability of a girl, a boy, and a boy (in that order)? (2 points) d. What is the probability of at least one girl? (2 points) e. What is the probability of at least two boys? (2 points) 2. Suppose you randomly select a family with four ehildren. Assume that births of boys and girls are equally likely. a. How many birth orders are possible? List them in a probability distribution table. {3 points) b. What is the probability that the family has four children of the same gender? (2 points) e. What is the probability that the family has a boy, a girl, a boy, and a girl (in that order)? (2 points) d. What is the probability that the family has two girls and two boys (in any order)? (2 points)