Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arisesspontaneously on each of the X chromosomes of the parents, independently and with probability u = 0.301. We can therefore viewthe production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equalprobability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independentlywith probability p. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose Xchromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Roundyour answer to five decimal places.Answer:

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Answered: Muscular dystrophy is a genetic disease…

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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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
During an episode of tonight show, a talk show host related "The birthday problem " to the audience noting that in a group of 50 or more people, probablists have calculated that the probability of atleast 2 people having the same birthday is very high. To illustrate this point he proceeded to conduct his own experiment. A person selected at random from the audience was asked to state his birthday. The host then adked whether anyone in the audience had the same birthday. The response was negative. He repeated the experiment. Once again the response was negative. These results observed the host,were contrary to expectations. In a later episode of the show, the host explained why the experiment had been improperly conducted. Explain why the host failed to illustrate the point he was trying to make in the earlier episode
There are two batches of the same product. In one batch all products are conforming. The other batch contains 20% non-conforming products. A batch is selected at random and one randomly selected product from that batch is inspected. The inspected product was foundconforming and was returned back to its batch. What is the probability that the second product, randomly selected from the same batch, is found non-conforming?
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 certain blood test is 99.5% effective at detecting Foreign Bloodborne Pathogens (such as the hepatitis virus) in human blood. If two people who take this test are selected at random, what is the probability both tests correctly detect a Foreign Bloodborne Pathogen? If ten people who take this test are selected at random, what is the probability all tests correctly detect a Foreign Bloodborne Pathogen? If 1,000 people who take this test are selected at random, what is the probability at least one test FAILS to detect a Foreign Bloodborne Pathogen?
A laboratory blood test is 95% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 1% of the healthy persons tested. That is, if a healthy person is tested, then, with probability 0.01, the test result will imply that he or she has the disease. If 0.5% of the population actually has the disease, calculate the probability that a randomly selected person will get a positive test result
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.)
8 Suppose disease X can be passed from father to child. If a father has the disease, each child has a 1/2 chance of having it too (independent of whether any other children do). If a father doesn't have the disease, none of their children will. Alexei is a father, and there's a 1/4 chance he has disease X. What is the probability Alexei has disease X if he has 2 children and neither one has the disease?
A couple decides to have children. Both the mother and father are normally pigmented but are carriers of the recessive gene for albinism. Considering that the chance of the mother giving birth to a girl is 0.48 and for a boy is 0.52, what is the probability that the couple will have 1 normally pigmented boy, 2 albino girls, and 2 albino boys in any order?

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