(10 points total) A small community organization consists of 20 families, of which 4 have one child, 8 have two children., 5 have three children, 2 have four children and

1 has five children. (a) (5 points)If one of these families is chosen at random, what is the probability that it has i children i = 1, 2, 3, 4, 5? (b) (5 points)If one of the children is randomly chosen, what is the probability that they came from a family of i children i = 1,2, 3, 4, 5?