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 μ = 0.888. We can therefore view theproduction of 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 M. 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.

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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Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth and most die before their first birthday. T18 occurs in only 1 in 2500 pregnancies in the U.S. A genetic test on the mother's blood can be done to test for T18 in her baby. The overall probability of a positive test result is 0.010384. The probability of a positive test result for a baby with T18 is 0.97. The probability of a negative test result for a baby without T18 is 0.99. A mother's blood tests positive for T18. What is the probability that her baby has T18? (A) 0.0004 (B) 0.0374 (C) 0.4902 (D) 0.97 (E) 0.99
Deer ticks can carry both Lyme disease and human granulocytic ehrlichiosis (HGE). In a study of ticks in the Midwest, it was found that 15 % carried Lyme disease, while 11 % carried HGE. In addition, of the ticks with either Lyme disease or HGE, 16 % carried both diseases. (a) What is the probability P[L H] that a tick carrries both Lyme disease (L) and HGE (H)? P[LH] = (b) What is the conditional probability that a tick carries HGE, given that it has Lyme disease? P[H|L] =
An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.05Pr[1]=0.05, Pr[2]=0.25Pr[2]=0.25, Pr[3]=0.1Pr[3]=0.1, Pr[4]=0.15Pr[4]=0.15, Pr[5]=0.2Pr[5]=0.2, and Pr[6]=0.25Pr[6]=0.25. On the first roll, you record if the number is Small (1,2) or Large (3,4,5,6). If the first number is Small, then on the second roll you record if the number is a 1 or not. If the first number is Large, on the second roll you record whether the number is Small or not. So, some typical outcomes would be S1 (small number rolled, then 1) or LL (large number rolled, then another large number). Draw a tree diagram and use it to answer the following questions. (1) What is Pr[S1]? (2) What is Pr[LL]? (3) What is Pr[(not1)onsecondroll|Sonfirstroll]? (4) What is Pr[S on second roll|L on first roll]?
A rare disease exists with which only 1 in 500 is affected. A test for the diseaseexists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, whatis the probability that the individual has the disease?
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…
A company manufactures transistors in four factories producing 10%, 30%, 40% and 20% of the parts respectively.Due to their respective age and level of standards, factories produce defective parts at frequenciesdifferent, i.e. 0.15, 0.20, 0.08 and 0.10.If we take a part at random from among those that are defective, what is the probability that it comes from factory 3?
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.)
Johnny carries out an experiment to study the lifespan of cockroach without water and food. At the end of day 0, he puts six cockroaches in different boxes respectively. On each day following, each cockroach has an equal chance to d ie with a probability of 0.5. What is the expected number of days until all six cockroaches die?
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.)
Suppose 10% of a city’s inhabitants have contracted Covid-19 but are asymptomatic (do not show any symptoms). A PCR test for detecting Covid will return a positive result for 90% of the people with asymptomatic Covid and is negative for 90% of people who are not infected. What is the probability that a person for whom the test result is negative, actually has indeed contracted Covid-19?

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