Suppose that a disease is inherited via a dominant mode of inheritanceand that only one of the two parents is affected with the disease. The implications of this mode of inheritance are that the probability is 1 in 2 that any particularoffspring will get the disease.(a)What is the probability that in a family with two children,both siblings are affected?(b)What is the probability that exactly one sibling is affected?(c)What is the probability that neither sibling isaffected?(d)Suppose the older child is affected. What is theprobability that the younger child is affected?(e)If A, B are two events such that A = {older child isaffected}, B = {younger child is affected}, then are the eventsA, B independent?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that a disease is inherited via a dominant mode of inheritanceand that only one of the two parents is affected with the disease. The implications of this mode of inheritance are that the probability is 1 in 2 that any particularoffspring will get the disease.(a)What is the probability that in a family with two children,both siblings are affected?(b)What is the probability that exactly one sibling is affected?(c)What is the probability that neither sibling isaffected?(d)Suppose the older child is affected. What is theprobability that the younger child is affected?(e)If A, B are two events such that A = {older child isaffected}, B = {younger child is affected}, then are the eventsA, B independent?

 

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