In many settings, the "rules of probability" are just basic facts about percents. The Graduate Management Admission Test (GMAT) website provides information about the undergraduate majors of those who took the test in specific years. Suppose that in a certain year: 56% majored in business or commerce; 15% majored in engineering; 15% majored in the social sciences; 7% majored in the sciences; 4% majored in the humanities; and 3% listed some major other than the preceding. Assume there are no double majors. (a) What percent of those who took the test in this certain year majored in either engineering or the sciences? (Enter your answer as a percent and as a whole number.) ?=   % Select the probability rule you used to find the answer. Rule 3.3. Two events ?A and ?B are disjoint if they have no outcomes in common and so can never occur together. If ?Aand ?B are disjoint, ?(? or ?)=?(?)+?(?).P(A or B)=P(A)+P(B). Rule 4.4.For any event ?,A, ?(? does not occur)=1−?(?).P(A does not occur)=1−P(A). Rule 2.2. If ?S is the sample space in a probability model, then ?(?)=1.P(S)=1. Rule 1.1. The probability ?(?)P(A) of any event ?A satisfies 0≤?(?)≤1.0≤P(A)≤1. (b) What percent of those who took the test in this certain year majored in something other than business or commerce? (Enter your answer as a percent and as a whole number.) ?=P=   % Select the probability rule you used to find the percentage of undergraduates who majored in something other than business or commerce. Rule 4.4. For any event ?,A, ?(? does not occur)=1−?(?).P(A does not occur)=1−P(A). Rule 1.1. The probability ?(?)P(A) of any event ?A satisfies 0≤?(?)≤1.0≤P(A)≤1. Rule 3.3.Two events ?A and ?B are disjoint if they have no outcomes in common and so can never occur together. If ?Aand ?B are disjoint, ?(? or ?)=?(?)+?(?).P(A or B)=P(A)+P(B). Rule 2.2. If ?S is the sample space in a probability model, then ?(?)=1.

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
In many settings, the "rules of probability" are just basic facts about percents. The Graduate Management Admission Test (GMAT) website provides information about the undergraduate majors of those who took the test in specific years. Suppose that in a certain year: 56% majored in business or commerce; 15% majored in engineering; 15% majored in the social sciences; 7% majored in the sciences; 4% majored in the humanities; and 3% listed some major other than the preceding. Assume there are no double majors.
(a) What percent of those who took the test in this certain year majored in either engineering or the sciences? (Enter your answer as a percent and as a whole number.)
?=
 
%
Select the probability rule you used to find the answer.
Rule 3.3. Two events ?A and ?B are disjoint if they have no outcomes in common and so can never occur together. If ?Aand ?B are disjoint, ?(? or ?)=?(?)+?(?).P(A or B)=P(A)+P(B).
Rule 4.4.For any event ?,A, ?(? does not occur)=1−?(?).P(A does not occur)=1−P(A).
Rule 2.2. If ?S is the sample space in a probability model, then ?(?)=1.P(S)=1.
Rule 1.1. The probability ?(?)P(A) of any event ?A satisfies 0≤?(?)≤1.0≤P(A)≤1.
(b) What percent of those who took the test in this certain year majored in something other than business or commerce? (Enter your answer as a percent and as a whole number.)
?=P=
 
%
Select the probability rule you used to find the percentage of undergraduates who majored in something other than business or commerce.
Rule 4.4. For any event ?,A, ?(? does not occur)=1−?(?).P(A does not occur)=1−P(A).
Rule 1.1. The probability ?(?)P(A) of any event ?A satisfies 0≤?(?)≤1.0≤P(A)≤1.
Rule 3.3.Two events ?A and ?B are disjoint if they have no outcomes in common and so can never occur together. If ?Aand ?B are disjoint, ?(? or ?)=?(?)+?(?).P(A or B)=P(A)+P(B).
Rule 2.2. If ?S is the sample space in a probability model, then ?(?)=1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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