Question: Suppose the names of all the children in the town are put into a hat, and a name is picked put at random. So now a child is picked a random instead of a family being picked at random. Let U be the total number of children in the family of the child chosen at random.
a) Find the distribution of U. why is this distribution different from the distribution of T?
b) What is the probability that the child picked at random comes from a family consisting of two girls and a boy?
c) Is this the same as the probability that a family picked at random consists of two girls and a boy? Calculate and explain.