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 = 0.805. 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 μ. 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.

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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An Insurance company study shows that 70% of the auto insurance claims submitted for property damage were submitted by males user 25 years of age. Suppose 6 property damage claims involving automobiles are selected at random. Let X be the number of claims (among 6 the selected) that are made by males under age 25. Question 1 Find the probability that all 6 claims are made by males under age 25.
Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease? Give your answer correct to four decimal places.
Suppose a doctor is conducting a clinical trial to test the effectiveness of a new drug for treating a certain disease. The doctor randomly assigns 200 patients to two groups: a treatment group that receives the new drug, and a control group that receives a placebo. If 30% of the patients in the treatment group experience a full recovery from the disease, and 20% of the patients in the control group experience a full recovery, what is the probability that the new drug is truly effective, given these results?
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When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 927 peas, with 723 of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a 3/4 probability that a pea will have a red flower, we would expect that 695.25 (or about 695) of the peas would have red flowers, so the result of 723 peas with red flowers is more than expected. a. If the scientist's assumed probability is correct, find the probability of getting 723 or more peas with red flowers. b. Is 723 peas with red flowers significantly high? c. What do these results suggest about the scientist's assumption that 3/4 of peas will have red flowers?
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]?
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?
A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)
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
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?

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