Hemophilia is a hereditary disease for females. It is known that any female has 40% chance of being a carrier of hemophilia. If the mother was a carrier, then any daughter of hers has 50% chance of inheriting this disease. If the mother was not a carrier, then her daughter would not inherit this disease.
a. Joan has a daughter, what is the probability that her daughter does not inherit this disease?
b. Knowing Lily's daughter has the disease, what is the chance that Lily is a carrier?
c. Eight mothers are randomly selected, what is the probability that two of the eight mothers are carriers of hemophilia?
d. What is the probability that the sixth mother tested is the the one identied to be carrier of hemophilia?