Suppose that 75% of science students, 45% of business students, and 45% of humanities students pass a mathematics course. If 25% of the students in the course are science students, 15% are business students and 60% are humanities students, then the probability that a randomly selected student who has passed the course is a science student is a. 0.54 b. 0.583 c. 0.125 d. 0.417 e. 0.458

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
icon
Concept explainers
Topic Video
Question
Suppose that 75% of science
students, 45% of business students,
and 45% of humanities students
pass a mathematics course. If 25%
of the students in the course are
science students, 15% are business
students and 60% are humanities
students, then the probability that a
randomly selected student who has
passed the course is a science
student is
a. 0.54
b. 0.583
c. 0.125
d. 0.417
e. 0.458
Transcribed Image Text:Suppose that 75% of science students, 45% of business students, and 45% of humanities students pass a mathematics course. If 25% of the students in the course are science students, 15% are business students and 60% are humanities students, then the probability that a randomly selected student who has passed the course is a science student is a. 0.54 b. 0.583 c. 0.125 d. 0.417 e. 0.458
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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