A test was given to a group of students. The grades and gender are summarized below B C Total 14 12 4 16 A Male 7 Female 11 3 Total 18 17 33 18 51 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.
A test was given to a group of students. The grades and gender are summarized below B C Total 14 12 4 16 A Male 7 Female 11 3 Total 18 17 33 18 51 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 2C
Related questions
Question
![A test was given to a group of students. The grades and gender are summarized below
A
Total
33
18
51
AT
7
Male
Female 11
B437
C246
14 12
Total 18 17 16
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40f6e573-5b24-44c5-a96c-e50d1c8217e9%2F5b67b806-4f61-430d-bad6-b392f6549262%2Fg4osx3k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A test was given to a group of students. The grades and gender are summarized below
A
Total
33
18
51
AT
7
Male
Female 11
B437
C246
14 12
Total 18 17 16
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.
![A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following
table shows the home pregnancy test results.
Negative
Pregnant
Not Pregnant
Total
Positive
60
4
64
8
74
82
Total
68
78
146
Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places.
=
a. P(Positive | Pregnant):
b. What is the probability that the woman is pregnant given that the test is positive?
c. Given that a woman is pregnant, what is the probability that the test is negative?
d. P(Not Pregnant | Negative) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40f6e573-5b24-44c5-a96c-e50d1c8217e9%2F5b67b806-4f61-430d-bad6-b392f6549262%2Fog6u1fa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following
table shows the home pregnancy test results.
Negative
Pregnant
Not Pregnant
Total
Positive
60
4
64
8
74
82
Total
68
78
146
Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places.
=
a. P(Positive | Pregnant):
b. What is the probability that the woman is pregnant given that the test is positive?
c. Given that a woman is pregnant, what is the probability that the test is negative?
d. P(Not Pregnant | Negative) =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)