The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whetherthe person actually has the disease. If the disease is actually present, the probability that the medical diagnostic testwill give a positive result (indicating that the disease is present) is 0.92. If the disease is not actually present, theprobability of a positive test result (indicating that the disease is present) is 0.02.If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probabilitythat the disease is actually present?The probability is(Round to three decimal places as needed.)

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Answered: The probability that a person has a…

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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The probability that an adult possesses a credit card is .75. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card
On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
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Assume that 2% of the Brazilian population had dengue fever and that a test correctly identified the fever 95% of the time. Assume that a false positive occurred 5% of the time. If a person tested positive for the fever, what was the probability that the person actually had the fever?
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A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
A blood test indicates the presence of a particular disease 98% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. One percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease.
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