Question 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 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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 proportions 0.25 0.3 0.45, and that
the population reproduces generation by generation by a process of random
mating
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
Question 1
Given the information about Hilary's blood group, show that the
probability that her father Dennis' blood group is M is 0.4.
Question 2
(ii) What is the probability that Dennis' blood group is (1) N, (2) MN
Transcribed Image Text:Question 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 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 Question 1 Given the information about Hilary's blood group, show that the probability that her father Dennis' blood group is M is 0.4. Question 2 (ii) What is the probability that Dennis' blood group is (1) N, (2) MN
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