What is the probability that a child will develop the disease?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 = 0.681. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd56a4301-5121-4d07-ac85-f8751d07f977%2F773db952-4b08-4630-addb-5526cb4b7095%2Fzwhtpw_processed.png&w=3840&q=75)
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 = 0.681. 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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