The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive, given that he or she had the disease. The individual actually had the disease Yes No D₁ 131 19 14 136 Positive Negative The probability is approximately. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

9

The data represent the results for a test for a certain disease. Assume one
individual from the group is randomly selected. Find the probability of getting
someone who tested positive, given that he or she had the disease.
The individual actually had the disease
Yes
No
Positive
131
19
Negative 14
136
The probability is approximately
(Round to three decimal places as needed.)
Transcribed Image Text:The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive, given that he or she had the disease. The individual actually had the disease Yes No Positive 131 19 Negative 14 136 The probability is approximately (Round to three decimal places as needed.)
Expert Solution
Step 1: this is the conditional probability

probability of  getting someone who tested positive and  he or she had the disease = n ( of getting someone who tested positive and he or she had the disease)/n(total)= 131/300=0.436667

probability of he or she having the disease=n(he or she had the disease)/n(total)=145/300=0.483333

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