What is the probability a random employee of this company is a drug user? Find: P(T and D) = 0.042045455 %3D P(T or D) = 0.159090909 %3D

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
icon
Concept explainers
Topic Video
Question
100%
Drug Test
Suppose that a drug test has a 0.93 probability of succesfully identifying a drug user, but has a 0.05 probability of
reporting a false positive. A company drug tests it's employees and 19% of them test positive for drug use.
Let T denote "tests positive for drug use" and D denote "drug user."
The probability 0.93 above refers to P(TID)
The probability 0.05 above refers to P(TID^c)
The
percentage 19% above refers to P(T)
What is the probability a random employee of this company is a drug user? 0.159090909
Find:
P(T and De) = 0.042045455
P(TC or D) = 0.159090909
US
9MB
acer
O O O
Transcribed Image Text:Drug Test Suppose that a drug test has a 0.93 probability of succesfully identifying a drug user, but has a 0.05 probability of reporting a false positive. A company drug tests it's employees and 19% of them test positive for drug use. Let T denote "tests positive for drug use" and D denote "drug user." The probability 0.93 above refers to P(TID) The probability 0.05 above refers to P(TID^c) The percentage 19% above refers to P(T) What is the probability a random employee of this company is a drug user? 0.159090909 Find: P(T and De) = 0.042045455 P(TC or D) = 0.159090909 US 9MB acer O O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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