Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A drug-screening test is used in a large population of people of whom 8% actually use drugs. Suppose that the false positive rate is 2%

A drug-screening test is used in a large population of people of whom 8% actually use drugs. Suppose that the false positive rate is 2% and the false negative rate is 3%. Thus, a person who uses drugs tests positive for them 97% of the time, and a person who does not use drugs tests negative for them 98% of the time. (Round your answers to one decimal place.) To answer the following questions, let A be the event that a randomly chosen person tests positive for drugs, let B1 be the event that a randomly chosen person uses drugs, and let B2 be the event that a randomly chosen person does not use drugs. Then Ac is the event that a randomly chosen person does not test positive for drugs. Now, as percents, P(B1) = %, P(B2) = %, P(A | B2) = %, and P(Ac | B1) = %. Hence, P(A | B1) = % and P(Ac | B2) = %. (a) What is the probability (as a %) that a randomly chosen person who tests positive for drugs actually uses drugs? The probability that a randomly chosen person who tests positive for drugs actually uses drugs is

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Calculus Early Transcendentals

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

9th Edition

1337613924, 978-1337613927

More Books

Students also viewed these Mathematics questions

Question

Absence of disparate impact

Answered: 1 week ago

Question

Performance appraisal criteria based on job analysis

Answered: 1 week ago

Question

Focus on clients needs (efforts to fulfi ll clients requirements)

Answered: 1 week ago