A new diagnostic test is developed for Foot-and-Mouth Disease (FMD). Theprobability that the test is positive if an animal has FMD is 0.95. The proba-bility that the test is negative if an animal does not have FMD is 0.9. Supposethat the probability that an animal has FMD is 0.01. Given that an animal istested positive, what is the probability that it has FMD?

Given information: The probability that the test is positive if an animal has FMD is 0.95.…

Answered: A new diagnostic test is developed for…

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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The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.92. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.04. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present?
In a certain high school, the probability that a student drops out is 0.1, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25. What is the probability that a randomly selected student gets a GED?
It has been determined that the probability of a hurricane occuring on a certain day in a certain area is 4%. What is the probability that a hurricane does not occur on that day?
If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal places
The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the test is positive.) Experimentation has shown that the probability of a positive test is 0.77, given that a person has tuberculosis. The probability is 0.09 that the test registers positive, given that the person does not have tuberculosis. Assume that in the general population, the probability that a person has tuberculosis is 0.04. What is the probability that a person chosen at random will fall in the following categories? (Enter your answers to four decimal places.) have tuberculosis and have a positive testnot have tuberculosisnot have tuberculosis and have a positive test
The probability that a homeowner owns a Blu-ray player is 0.50. The probability that a homeowner owns a wide-screen TV is 0.20. If a homeowner owns a wide-screen TV, the probability that they own a Blu-ray player is 0.70. What is the chance that a randomly selected homeowner owns both a wide-screen TV and a Blu-ray player?
The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the test is positive.) Experimentation has shown that the probability of a positive test is 0.82, given that a person has tuberculosis. The probability is 0.08 that the test registers positive, given that the person does not have tuberculosis. Assume that in the general population, the probability that a person has tuberculosis is 0.02. What is the probability that a person chosen at random will fall in the following categories. (Enter your answers to four decimal places.) (a) have tuberculosis and have a positive test (b) not have tuberculosis(c) not have tuberculosis and have a positive test

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