Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol. b) Find the probability that a person does not have the virus given that they test negative. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol. b) Find the probability that a person does not have the virus given that they test negative. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
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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Transcribed Image Text:Suppose a certain virus (sorry!) affects 0.3% of the population.
A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of
the time if the person does not have the virus (false positive).
Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people.
Virus
No Virus
Total
Positive Test
Negative Test
Total
100,000
a) Find the probability that a person has the virus given that they have tested positive.
Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
b) Find the probability that a person does not have the virus given that they test negative.
Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.
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