Muscular dystrophy is an incurable muscle-wasting disease. The most common and serious type, called DMD, is caused by asex-linked recessive mutation. Specifically, women can be carriers but do not get the disease; a son of a carrier has probability0.5 of having DMD; a daughter has probability 0.5 of being a carrier. As many as one-third of DMD cases, however, are due tospontaneous mutations in sons of mothers who are not carriers. Toni has one son, who has DMD.In the absence of other information, the probability is 1/3 that the son is the victim of a spontaneous mutation and 2/3 that Toniis a carrier. There is a screening test called the CK test that is positive with probability 0.7 if a woman is a carrier and withprobability 0.1 if she is not. Toni's CK test is positive. What is the probability that she is a carrier? Give your answer to fourdecimal places.probability:

According to the given information,P(Women is not a carrier) = P(Cc) = P(Women is a carrier) = P(C)…

Answered: Muscular dystrophy is an incurable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Commercial fishermen in Alaska go into the Bering Sea to catch all they can of a particular species (salmon, herring, etc.) during a restricted season of a few weeks. The schools of fish move about in a way that is very difficult to predict, so the fishing in a particular spot might be excellent one day and terrible the next. The day-to-day records of catch size were used to discover that the probability of a good fishing day being followed by another good day is 0.5, by a medium day 0.3, and by a poor day 0.2. A medium day is most likely to be followed by another medium day, with a probability of 0.6, and equally like to be followed by a good or bad day. A bad day has a 0.3 probability of being followed by a good day, 0.2 of being followed by a medium day, and a 0.5 probability of being followed by another bad day. Construct a Markov chain model to describe the way the fishing days run. Referring to problem 1 in Chapter 2 (the fishing problem – reproduced below), calculate what you…
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that the auto dealer will need to order more new transmissions?
A study was conducted to better understand the television habits of married men and women during prime-time hours. Based on past viewing records, the study determined that during prime time, husbands are watching television 60% of the time. When the husband is watching television, 40% of the time the wife is also watching. When the husband is not watching television, 30% of the time the wife is watching television. (a) Find the probability that if the wife is watching television, the husband is also watching television. (b) Find the probability that the wife is watching television during prime time.
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?
A biomedical research company produces 45%45% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 0.85%0.85% of the insulin produced at the plant in Kansas City is defective, while 0.75%0.75% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
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.)
3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
A global research study found that the majority of today's working women would prefer a better work-life balance to an increased salary. One of the most important contributors to work-life balance identified by the survey was "flexibility," with 41% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. c. What is the probability that in the sample more than 45% say that having a flexible work schedule is either very important or extremely important to their career success? _____(Round to four decimal places as needed.)

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