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- Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?Population Genetics-First Cousins This is a continuation of Exercise 5. Double first cousins are first cousins in two waysthat is, each of the parents of one is a sibling of a parent of the other. First cousins in general have six different grandparents whereas double first cousins have only four different grandparents. For mating between double first cousins, the proportions of the genotypes of the children can be accounted for in terms of those of parents, grandparents, and great-grandparent: 3=122+14+18. a. Find all solutions to the cubic equation above and Identify which is 1. b. After 5 generations, what proportion of the population will be homozygous? c. After 20 generations, what proportion of the population will be homozygous? 5. Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?33-(0.01)(2300+27-(-0.01)(3350)+19-(-0.01)(4400)
- A Dr is doing a test on diseases. He has a population of 1,000,000 with a disease affecting .01% of the population. There is a test for the disease which is 99% accurate. A positive test result indicates that the person has the disease. How would I complete the table below assuming that the entire population (1,000,000 individuals) is tested for the disease?Can someone pls calculate this grade keep having problems? 50% for the top 3 exams lowest will be drroped . Exam1 90/100, Exam2 54/100, Exam3 100/100, Exam4 77/100. 25% for labs. 14 labs in total. 11 of does labs are 100/100 one of the labs is a 70/100 the other is a 90/100 and the last one was a 490/500. 20% Final-??? 5% daily grade- This is also a 100%3. A gasoline company claims that they have a new super, high-octane fuel that improves the gas mileage of any vehicle, old or new. You decide to test this on your family’s vehicles. You find 10 sedans of various ages amongst your family members. Each car is fueled with the gas that your family members use regularly. The car is then driven until the tank is empty, and the miles per gallon is calculated for each car. Then, the same cars are filled with the “new” fuel and driven until empty. The miles per gallon for each car is again calculated. Your data are below. car: 1,2,3,4,5,6,7,8,9,10 MPG on One Tank of “Normal” Fuel: 30,28,32,26,33,25,28,30,29,35 MPG on One Tanks of New Fuel: 31,28,36,28,33,26,30,30,31,34 a) What are the null and alternative hypotheses for this study? Is this a one-tailed or a two-tailed test? b) Calculate the 95% confidence interval for both treatments (i.e., one for the “normal” fuel and one for the new fuel). c) Calculate your appropriate test statistic.…
- 3. A gasoline company claims that they have a new super, high-octane fuel that improves the gas mileage of any vehicle, old or new. You decide to test this on your family’s vehicles. You find 10 sedans of various ages amongst your family members. Each car is fueled with the gas that your family members use regularly. The car is then driven until the tank is empty, and the miles per gallon is calculated for each car. Then, the same cars are filled with the “new” fuel and driven until empty. The miles per gallon for each car is again calculated. Your data are below. car: 1,2,3,4,5,6,7,8,9,10 MPG on One Tank of “Normal” Fuel: 30,28,32,26,33,25,28,30,29,35 MPG on One Tanks of New Fuel: 31,28,36,28,33,26,30,30,31,34 Assume that you set α to 0.10 during the design phase of your study. -Calculate the degrees of freedom, and state the appropriate critical value of the test statistic. -State your final conclusion for this study based on α and the degrees of freedom. Please justify your…The Elisa test for the human immunodeficiency virus (HIV) that causes AIDS has been used in the screening of blood donations. As with most medical diagnostics test, the ELISA test is not infallible. If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the time (the number is called the sensitivity of the test. If a person does not carry HIV ELISA gives a negative result 92.6% of the time. Suppose that 0.5% of the public carries HIV.linear algebra, 2.5 question 11
- B. The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 42 years is____ years old. C. Is the result within 5 years of the actual Best Actor winner, whose age was 43 years? (Yes/ No) the predicted age is (more than 5 years greater than/more than 5 years less than/5 years or less from) the actual winner's age.5% Coupon 10% Coupon 15% Coupon Average Yield-to-Maturity of 5 Years to Maturity Bonds . 9.01% 9.03% Average Yield-to-Maturity of 8 Years to Maturity Bonds 9.47% . 9.28% I am having trouble finding the missing value for Maturity 5 through linear interpolation. YTM, x = 9.01% + [ (15-10)/(15-5) * (9.03%-x) ] I saw this solution but I have no idea when they got the answer 8.99% from that. Please help6.75 Suppose that there are 6 deaths due to bladder can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 1.8 are expected based on U.S. mortality rates. Pro- vide a 95% CI for the expected number of deaths from bladder cancer over 20 years among the tire workers. Is the number of cases of bladder cancer in this group excessive?