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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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 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…
Both flu and covid produce fevers. You know from past research that 10% of the population gets flu each year, but it is possible to get both covid and flu. Assume that the probability of getting flu and covid are independent. If this year the percentage of people reporting fever is 20%, what percentage of the population has covid? Studies show that due to similar transmission of flu and covid, someone who has covid has a 20% chance of also getting flu. What then is the probability of someone who has flu also having covid? Given the conditional information above, what is a better estimate of the percentage of people who have covid given the 20% fever reporting?
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is
In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?
The hospital records show that 75% of patients suffered from COVID-19 dies. What is the probability that 4 out of 6 randomly selected patients will recover?
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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