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 = 0.932. 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. Answer:

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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 = 0.932. 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.
Answer:
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 = 0.932. 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. Answer:
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