A poll was taken of 15,307 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below. Education Level Male Female Total High School or Less 3422 3326 6748 Bachelor's Degree 3494 3928 7422 Master's Degree 510 532 1042 Ph.D. 42 53 95 Total 7468 7839 15,307 A person is selected at random. Compute the following probabilities. (a) What is the probability that the selected person is male, given that he has a Master's degree? (b) What is the probability that the selected person does not have a Master's degree, given that he is male? (c) What is the probability that the selected person is female, given that she has a Bachelor's degree? (d) What is the probability that the selected person has a Ph.D., given that she is female?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

A poll was taken of 15,307 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.

Education Level Male Female Total
High School or Less 3422 3326 6748
Bachelor's Degree 3494 3928 7422
Master's Degree 510 532 1042
Ph.D. 42 53 95
Total 7468 7839 15,307



A person is selected at random. Compute the following probabilities.

(a) What is the probability that the selected person is male, given that he has a Master's degree?

  

(b) What is the probability that the selected person does not have a Master's degree, given that he is male?

  

(c) What is the probability that the selected person is female, given that she has a Bachelor's degree?

  

(d) What is the probability that the selected person has a Ph.D., given that she is female?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman