In each of the following situations, state whether the given assignment of probabilities to individual outcomes is legitimatethat is, whether it satisfies the rules of probability. If not, give specific reasons for your answer. Among Navajo Native Americans, the distribution of blood type is19 P(A)=0.27,P(B)=0.00,P(AB)=0.00,P(O)=0.73. Choose a cat at random from an animal shelter and record sex and hair type: P(female short-haired)=0.56, P(female long-haired)=0.24, P(male short-haired)=0.44,P(male long-haired)=0.16. A hospital tests every newborn for phenylketonuria (PKU). PKU is one of the most common genetic disorders, easily treated but resulting in brain damage if undiagnosed. The incidence of PKU varies all over the world, as follows:20 P(United States)=1/10,000, P(Ireland)=1/4,500, P(Finland)=1/100,000, P(rest of the world)=1/15,000