The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. a) Which model/rule will best be good for solving the above problem b) Explain your answer in a) c) Comment on the types of events you see in the problem and name them.

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

The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01.
a) Which model/rule will best be good for solving the above problem

b) Explain your answer in a)
c) Comment on the types of events you see in the problem
and name them.

Expert Solution
Step 1

         The theory of probability has its origin in the seventeenth century.The king of France who was fond of gambling, consulted the great mathematicians Pascal and Fermat for solving the gambling problems. These two scientist tried to solve the problem using concepts of probability which laid the foundations of the probability theory.The complement of an event is defined as, if A is an event on a sample space then compliment of A is the event containing all the points sample space that are not in A.

steps

Step by step

Solved in 2 steps

Blurred answer
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