A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a “positive” result. If a patient does not have the disease, the test should return a “negative” result. No test is perfect though. 99% of patients who have the disease will test positive. 5% of the patients who don’t have the disease will also test positive. 10% of the population in question has the disease. If a random patient tests positive,

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

SHOW YOUR COMPLETE SOLUTION

PROBLEM SOLVING ON CONDITIONAL PROBABILITY AND PRODUCT RULE

 

A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a “positive” result. If a patient does not have the disease, the test should return a “negative” result. No test is perfect though.

  • 99% of patients who have the disease will test positive.
  • 5% of the patients who don’t have the disease will also test positive.
  • 10% of the population in question has the disease.

If a random patient tests positive, what is the probability that they have the disease?

a.Find the probability that a randomly selected patient has the disease AND tests positive?

b.Find the probability that a random patient tests positive.

c.If a random patient tests positive, what is the probability that they have the disease?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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