The results of a diagnostic test are shown in the table below. In this scenario, what is the probability that someone who tests positive for the disease actually has the disease? P (S| Y) Positive Negative Total test (Y) test (N) Has disease (S) 73 12 85 Does not have 37 378 415 disease (F) Total 110 390 500

The results of a diagnostic test are shown in the table below. In this scenario, what is the probability that someone who tests positive for the disease actually has the disease? P (S| Y) Positive Negative Total test (Y) test (N) Has disease (S) 73 12 85 Does not have 37 378 415 disease (F) Total 110 390 500

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Description: The results of a diagnostic test are shownin the table below. In this scenario, what isthe probability that someone who testspositive for the disease actually has thedisease? P (S| Y)PositiveNegativeTotaltest (Y)test (N)Has disease (S)731285Does not

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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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Question

The results of a diagnostic test are shown
in the table below. In this scenario, what is
the probability that someone who tests
positive for the disease actually has the
disease? P (S| Y)
Positive
Negative
Total
test (Y)
test (N)
Has disease (S)
73
12
85
Does not have
37
378
415
disease (F)
Total
110
390
500

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