About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when it is not present is P(test pos|no D)= 0.05. The probability that a randomly chosen woman who has this test will both have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test positive for it (a false positive) is 0.0499895. Complete parts a and b below. a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this test has the disease? (Type an integer or decimal rounded to four 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
icon
Related questions
Question
About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a
test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when
it is not present is P(test pos|no D) = 0.05. The probability that a randomly chosen woman who has this test will both
have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test
positive for it (a false positive) is 0.0499895. Complete parts a and b below.
a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this
test has the disease?
(Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when it is not present is P(test pos|no D) = 0.05. The probability that a randomly chosen woman who has this test will both have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test positive for it (a false positive) is 0.0499895. Complete parts a and b below. a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this test has the disease? (Type an integer or decimal rounded to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman