A test was given to a group of students. The grades and gender are summarized below Total Male 14 10 40 Female 11 8 32 Total 29 25 18 72 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female. A638

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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A test was given to a group of students. The grades and gender are summarized below
Total
Male 16 14 10
40
Female 13 11 8
32
Total 29 25 18
72
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'A' GIVEN they are female.
Transcribed Image Text:A test was given to a group of students. The grades and gender are summarized below Total Male 16 14 10 40 Female 13 11 8 32 Total 29 25 18 72 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female.
A certain affects virus 0.3% of the population. A test used to detect the virus in a person is positive
86% 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 postive). 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
300
100,000
99,700
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) =
%
Transcribed Image Text:A certain affects virus 0.3% of the population. A test used to detect the virus in a person is positive 86% 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 postive). 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 300 100,000 99,700 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) = %
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