5. A certain virus infects 17% of people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 4% of the time if the person does not have the virus. a. For a sample of 20,000 people complete the table below. The first entry has been completed for you. Test Result Totals Positive Negative Has Virus .96 x 3400 = 3264 Does Not Have Virus Totals 20,000 b. Find the probability that a person has the virus given that they have tested positive. C. Find the probability that a person does not have the virus given that they test negative. d. If two people are chosen at random, find the probability that at least one of them has the virus.

5. A certain virus infects 17% of people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 4% of the time if the person does not have the virus. a. For a sample of 20,000 people complete the table below. The first entry has been completed for you. Test Result Totals Positive Negative Has Virus .96 x 3400 = 3264 Does Not Have Virus Totals 20,000 b. Find the probability that a person has the virus given that they have tested positive. C. Find the probability that a person does not have the virus given that they test negative. d. If two people are chosen at random, find the probability that at least one of them has the virus.

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...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

5. A certain virus infects 17% of people. A test used to detect the virus in a person is positive 96% of
the time if the person has the virus and 4% of the time if the person does not have the virus.
a. For a sample of 20,000 people complete the table below. The first entry has been
completed for you.
Test Result
Totals
Positive
Negative
Has Virus
96 x 3400 = 3264
Does Not Have Virus
Totals
20,000
b.
Find the probability that a person has the virus given that they have tested positive.
C.
Find the probability that a person does not have the virus given that they test negative.
d. If two people are chosen at random, find the probability that at least one of them has the
virus.

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