Question: Probability, Bayes’ Theorem: A Covid-19 test produces false negatives 2% of the time and false positive 5% of the time. 10% of a city has the virus. Answer the following questions: If a person test negative, what is the probability that the person carries the virus? What is the probability that a person carrying the virus tests negative three times in a row through independent tests? What is the probability that someone who tests negative twice in a row of independent tests is a healthy person?

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

Question: Probability, Bayes’ Theorem: A Covid-19 test produces false negatives 2% of the time and false positive 5% of the time. 10% of a city has the virus. Answer the following questions:

  • If a person test negative, what is the probability that the person carries the virus?
  • What is the probability that a person carrying the virus tests negative three times in a row through independent tests?
  • What is the probability that someone who tests negative twice in a row of independent tests is a healthy person?
  • Considering that the test has low false negative and false positive rates, please reflect on the results you obtained in parts (i) and (ii).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Chi-squared Tests
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
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