Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative

Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative

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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Question

Q: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings:

Find the probability that a person has the virus given that his test outcome is positive.
Find the probability that a person does not have the virus given that his test outcome is negative.
Find the probability that a person has the virus given that his test outcome is negative.

Subject/Course: Introduction to Data Science

Note: Use "Confusion Matrix" technique to solve this question!

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