A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 89% 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 remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 700 99,300 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = %
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 89% 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 remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 700 99,300 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Infected | Positive Test)= % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign. P(Not Infected | Negative Test) = %
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 89% 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 remainder of the following table and use it to answer the two questions below.
a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Infected | Positive Test)= %
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) = %
Infected | Not Infected | Total | |
Positive Test | |||
Negative Test | |||
Total | 700 | 99,300 | 100,000 |
P(Infected | Positive Test)= %
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) = %
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