How did you get the firsts amounts as 0.001 etc? A certain virus affects 0.1% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 12% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below.   Infected Not Infected Total Positive Test       Negative Test       Total 100 99,900 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Infected | Positive Test)= %b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.P(Not Infected | Negative Test) =  check_circleAnswer Step 1 According to the provided data, certain probabilities are, help_outlinefullscreen Step 2 The required probabilities to complete the table can be calculated as: help_outlinefullscreen Step 3 The completed table is, help_outlinefullscreen Step 4 a) The required probability can be obtained as: help_outlinefullscreen Step 5 b) The required probability can be obtained as: help_outline

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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How did you get the firsts amounts as 0.001 etc?

A certain virus affects 0.1% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 12% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below.

  Infected Not Infected Total
Positive Test      
Negative Test      
Total 100 99,900 100,000

a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Infected | Positive Test)= %
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) = 

check_circleAnswer
Step 1

According to the provided data, certain probabilities are,

help_outlinefullscreen
Step 2

The required probabilities to complete the table can be calculated as:

help_outlinefullscreen
Step 3

The completed table is,

help_outlinefullscreen
Step 4

a) The required probability can be obtained as:

help_outlinefullscreen
Step 5

b) The required probability can be obtained as:

help_outline
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