=Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. Duringreproduction this mutation arises spontaneously on each of the X chromosomes of theparents, independently and with probability : 0.78. We can therefore view the productionof a child as consisting of two probabilistic experiments. First, one of the two sexchromosomes is chosen with equal probability from each parent. Second, for each Xchromosome that is chosen, the muscular dystrophy mutation arises independently withprobability u. All male children carrying the mutation will develop muscular dystrophy,whereas only females whose X chromosomes both carry the mutation will develop thedisease. What is the probability that a child will develop the disease? Round your answer tofive decimal places.

Mutation arises spontaneously on each of the X chromosomes of the parents, independently and with…

Answered: Muscular dystrophy is a genetic 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 = 0.805. 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.
For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years. If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?
When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 915915 peas, with 718718 of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a 3 divided by 43/4 probability that a pea will have a red flower, we would expect that 686.25686.25 (or about 686686) of the peas would have red flowers, so the result of 718718 peas with red flowers is more than expected. a. If the scientist's assumed probability is correct, find the probability of getting 718718 or more peas with red flowers. b. Is 718 peas with red flowers significantly high? c. What do these results suggest about the scientist's assumption that 3 divided by 43/4 of peas will have red flowers? a. If the scientist's assumed probability is correct, the probability of getting 718 or more peas with red flowers is nothing. (Round to four decimal places as needed.)
When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 905 peas, with 706 of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a 3 divided by 4 probability that a pea will have a red flower, we would expect that 678.75 (or about 679) of the peas would have red flowers, so the result of 706 peas with red flowers is more than expected. a. If the scientist's assumed probability is correct, find the probability of getting 706 or more peas with red flowers. If the scientist's assumed probability is correct, the probability of getting 706 or more peas with red flowers is (Round to four decimal places as needed.)

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