Question Three a. Suppose that 15 percent of the families in a certain village have no car, 20 percent have 1 car, 35 percent have 2 cars, and 30 percent have 3 cars. Suppose that each car is equally likely (and independently) to be a color blue or red. If a family is chosen at random from this community, (a) What is the joint probability mass function of the number of blue cars and number of red cars in this family. (b) given that the chosen family has a blue car, compute the conditional probability mass function of the number of red cars in the family