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 the parents,independently and with probability μ = 0.932. We can therefore view the production of a child asconsisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen withequal probability from each parent. Second, for each X chromosome that is chosen, the musculardystrophy mutation arises independently with probability μ. All male children carrying themutation will develop muscular dystrophy, whereas only females whose X chromosomes bothcarry the mutation will develop the disease. What is the probability that a child will develop thedisease? Round your answer to five decimal places.Answer:

Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome and the mutation…

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.
A state government hired a contractor for a road-construction project. The contractor's type, its cost efficienciency, is unknown to the government. There is 2/3 probability of the its construction cost being 3 (billion dollars per lane) and 1/3 probability of the cost being 5. More lanes yield more social benefit in the form of faster travel and fewer accidents. The social value V (measured in billions of dollars) from having N lanes on the highway is: V-15N-N?/2. The government is interested in choose N and writing a contract to maximize the benefit to the state (V) net of the fee paid to the contractor (call it F); G-V-F. Your goal as a government official is to design a pair of contracts to separate the types of contractor. You want the contractor to choose "Contract L: Build N lanes and get paid RL dollars" if its cost type is low cost of $3 (billion dollars per lane) and to choose "Contract H: Build NH lanes and get paid RH dollars" if its cost type is high cost $5 (billion…
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