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 u = 0.301. 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.

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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 u = 0.301. 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 p. 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 u = 0.301. 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 p. 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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