Suppose that the numbers of people in the three blood groups M, MN, N in generation 0 of a population are in the proport
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Suppose that the numbers of people in the three blood groups M, MN, N in generation 0 of a population are in the proport
Suppose that the numbers of people in the three blood groups M, MN, N in generation 0 of a population are in the proportions 0.25 : 0.3 : 0.45, and that the population reproduces generation by generation by a process of random mating. (The M-N blood group system is described in Examples 1.3 and 2.4 of Book 5.) Assume that the population has been reproducing for several generations. Cathy, whose blood group is MN, and Dennis, whose blood group is not known, have two daughters, Hilary and Jane. A test shows that Hilary's blood group is M. (i) Given the information about Hilary's blood group, show that the probability that her father Dennis' blood group is M is 0.4. (ii) What is the probability that Dennis' blood group is (1) N, (2) MN?
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