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Consider a particular genetic disease affects 3% of adults in the U.S. population. Fortunately, there is a genetic test for the gene that causes the disease. The test is 98% accurate; that is, 98% of the people who take the test get the correct result (and 2% of people tested get the wrong result). In Springfield, there are 100,000 adults, and they all get tested for the disease. 1 How many of the residents of Springfield are likely to have the disease? 2 How many of the people who actually have the disease get a positive test result? 3 How many of the people who do not have the disease get a positive test result? 4 Of the people who get a positive test result, how many of them have the disease? Convert this to a percentage: What percent of people who get a positive result actually have the disease? 5 What does this percentage tell you about the test? The problem you must solve is: 1 Acme Manufacturing Company requires all of its 5000 employees to take a drug test. Suppose 2% of the employees actually use drugs (although the company does not know this number). The drug test is 95% accurate. 1 How many of Acme's employees use drugs? 2 How many of the employees who use drugs get a positive test result? 3 How many of the employees who do not use drugs get a positive test result? 4 Of the employees who get a positive test result, how many of them use drugs? Convert this to a percentage: What percent of people who get a positive result actually use drugs? 5 State a conclusion about the accuracy of the test. To get full credit for this write-up, you should: 1 Answer all parts of the problem. 2 Show your justification for every step in your solution. Use clear, mathematically accurate language. 3 Label all numbers with the units they represent (e.g., 0.3048 ft/meter). 4 Clearly state your conclusions using complete English sentences (for example, "Jill needs to add 43 gallons of water to her pool").
Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that ..
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
Which of the following best describes the data: classifications of unlikely, likely, or very likely to describe possible buying of a product?
Each individual letter of the word "pfeffernuesse" is placed on a piece of paper, and all 13 pieces of paper are placed in a hat. Three letters are selected at random from the hat. Find the probability of selecting each of the following.
Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms.
two planes left an airport at noon . One flew east at a certain speed and the other flew west twice the speed . The planes were 2700mi apart in 3h. How fast was each plane flying?
number of correct answers on a test and test score 4) number of students in a class and number of students of with brown hair
A teacher bought a package of 48 markers for her first-grade class. After one school year, 13 markers were still working. What fraction of the package of markers was working? Express the result using a simple, convenient fraction that is close in ..
find the derivative of x32 using the definition of a derivative. you cannot use the power rule or any other
budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
Joe believes that the relation {(2,1),(3,-2),(4,5),(5,-2)} is not a function because two values in the domain have the same range value. What is the student's error?
The Horton family decides to subscribe to to 2 premium channels far a period of one year. which cable company should they subscribe in other to pay less money? how much money will the Horton family save in one year for using the less expensive com..
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