Inheritance of blood types. Children inherit their blood type from their parents, with probabilities that reflect the parents genetic makeup. Children of Juan and Maria each have probability 1/4 of having blood type A and inherit independently of each other. Juan and Maria plan to have 4 children. Let X be the number who have blood type A.
(a) What are n and p in the binomial distribution of X?
(b) Find the probability of each possible value of X, and draw a probability histogram for this distribution.
(c) Find the mean number of children with type A blood, and mark the location of the mean on your probability histogram.