The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? The probability is (Round to three decimal places as needed.)

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...
icon
Related questions
Question

I need help with this please

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine
whether the person actually has the disease. If the disease is actually present, the probability that the medical
diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not
actually present, the probability of a positive test result (indicating that the disease is present) is 0.01.
If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability
that the disease is actually present?
The probability is
(Round to three decimal places as needed.)
Transcribed Image Text:The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.88. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? The probability is (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON