20 percent of the population is already infected with the virus. • 90 percent of infected patients test positive. • 50 percent of healthy uninfected patients also test positive. For this section, express your answer as a simple fraction or number. i. What is the probability that a random person tests positive? ii. What is the probability that a random person who tests positive actually has the virus? iii. Suppose an independent second test is performed on a patient that previously tested positive. This time, the test result is negative. Now, what is the probability that the patient is infected with the virus?
20 percent of the population is already infected with the virus. • 90 percent of infected patients test positive. • 50 percent of healthy uninfected patients also test positive. For this section, express your answer as a simple fraction or number. i. What is the probability that a random person tests positive? ii. What is the probability that a random person who tests positive actually has the virus? iii. Suppose an independent second test is performed on a patient that previously tested positive. This time, the test result is negative. Now, what is the probability that the patient is infected with the virus?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A certain virus is spreading rapidly through the population and doctors have come up with a new but imperfect test to determine if a patient is infected.
• 20 percent of the population is already infected with the virus.
• 90 percent of infected patients test positive.
• 50 percent of healthy uninfected patients also test positive.
• 20 percent of the population is already infected with the virus.
• 90 percent of infected patients test positive.
• 50 percent of healthy uninfected patients also test positive.
For this section, express your answer as a simple fraction or number.
i. What is the probability that a random person tests positive?
ii. What is the probability that a random person who tests positive actually has the virus?
iii. Suppose an independent second test is performed on a patient that previously tested positive. This time, the test result is negative. Now, what is the probability that the patient is infected with the virus?
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