Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability μ = 0.888. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability μ. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During
reproduction this mutation arises spontaneously on each of the X chromosomes of the
parents, independently and with probability μ = 0.888. We can therefore view the
production of a child as consisting of two probabilistic experiments. First, one of the two sex
chromosomes is chosen with equal probability from each parent. Second, for each X
chromosome that is chosen, the muscular dystrophy mutation arises independently with
probability M. All male children carrying the mutation will develop muscular dystrophy,
whereas only females whose X chromosomes both carry the mutation will develop the
disease. What is the probability that a child will develop the disease? Round your answer to
five decimal places.
Transcribed Image Text:Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability μ = 0.888. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability M. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places.
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