Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A certain virus infects one in every 150 people. A test used to detect the virus in a person is positive 90% of the time

image text in transcribed
A certain virus infects one in every 150 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 10% of the time when the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected. Click the icon to the right to review Bayes' Theorem. (a) The probability that a person is infected when a person tests positive is (Do not round until final answer. Then round to three decimal places as needed.) (b) The probability that a person is not infected when a person tests negative is (Round to four decimal places as needed.)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Trigonometry A Unit Circle Approach (Subscription)

Authors: Michael Sullivan

10th Edition

0134178785, 9780134178783

More Books

Students also viewed these Mathematics questions

Question

1. Too understand personal motivation.

Answered: 1 week ago