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i. A person who has the disease is tested. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected person tests positive for the disease? iii. What is the probability that a randomly selected person who tested pos- itive for the disease actually has the disease?

i. A person who has the disease is tested. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected person tests positive for the disease? iii. What is the probability that a randomly selected person who tested pos- itive for the disease actually has the disease?

MATLAB: An Introduction with Applications
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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1. (a) A disease affects 16% of the population. There is a test (not perfect) that detects the disease with a probability of 98% (i.e. comes back positive when the person has the disease). However, this test produces 5% of false positives, i.e. comes back positive even though the person does not have the disease. i. A person who has the disease is tested. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected person tests positive for the disease? iii. What is the probability that a randomly selected person who tested pos- itive for the disease actually has the disease?
Transcribed Image Text:1. (a) A disease affects 16% of the population. There is a test (not perfect) that detects the disease with a probability of 98% (i.e. comes back positive when the person has the disease). However, this test produces 5% of false positives, i.e. comes back positive even though the person does not have the disease. i. A person who has the disease is tested. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected person tests positive for the disease? iii. What is the probability that a randomly selected person who tested pos- itive for the disease actually has the disease?
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