1. Phenylketonuria, PKU, is a neurodegenerative disorder resulting from the inability to metabolize phenylalanine. PKU is inherited as an autosomal recessive trait. Jack does not have PKU but he has a sister who is afflicted with the condition. Jill also does not have PKU but she has a brother with the disease.
a. What is the probability that Jack and Jill will have a daughter with PKU?
b. What is the probability that Jack and Jill’s first child will have PKU, their second child will not have PKU and their third child will have PKU?
c. Out of four children born to Jack and Jill, what is the probability that two children will have PKU?
d. Suppose Jack and Jill’s first child is born with PKU. Using this information, what is the probability that their next child will be a son with PKU?
e. Suppose Jack and Jill’s first child is born with PKU. Using this information, what is the probability that out of three children, two will have PKU?