Approximately 1% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 1% (more recent COVID tests have a false positive rates around .4%). That means that about 1% of people who don’t have COVID will nonetheless test positive. Consider the following two-way table for 1000 randomly selected people who were tested for COVID using (RT-PCR).   Positive test Negative test Total Has COVID 8 2 10 No COVID 10 980 990 Total 18 982 1000 What is the probability of choosing someone who tested positive? What is the probability of choosing someone who has COVID? What is the probability of choosing someone who Doesn’t have COVID andtested positive? What is the probability of choosing someone with COVID given that they testedpositive?

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
Topic Video
Question
  1. Approximately 1% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 1% (more recent COVID tests have a false positive rates around .4%). That means that about 1% of people who don’t have COVID will nonetheless test positive. Consider the following two-way table for 1000 randomly selected people who were tested for COVID using (RT-PCR).

 

Positive test

Negative test

Total

Has COVID

8

2

10

No COVID

10

980

990

Total

18

982

1000

  • What is the probability of choosing someone who tested positive?
  • What is the probability of choosing someone who has COVID?
  • What is the probability of choosing someone who Doesn’t have COVID andtested positive?
  • What is the probability of choosing someone with COVID given that they testedpositive?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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