A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 2.24% of the polulationsuffers from disease x . suppose the test is applied to a random individual from the population . Compute the following probabilities (it may help to draw a probability tree.) The percentage chance that the test will be positive = The probability that , given a positive result , the person has disease x =

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

A diagnostic test for disease X correctly identifies the disease 90% of the time.

False positives occur 8%. It is estimated that 2.24% of the polulationsuffers from disease x . suppose the test is applied to a random individual from the population . Compute the following probabilities (it may help to draw a probability tree.)

The percentage chance that the test will be positive =

The probability that , given a positive result , the person has disease x =

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
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