Are the events "The person is 35 or under," and "The person wears glasses," dependent or independent?
Are the events "The person is 35 or under," and "The person wears glasses," dependent or independent?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A survey of 100 people was conducted at the local grocery store. Each respondent was asked for their age and whether they wore prescription glasses. The results of the survey are shown in the table below.
Are the
A. dependent, because P(35 or under)=P(wears glasses)
B. independent, because P(35 or under)≠P(wears glasses)P(35 or under)≠P(wears glasses)
C. dependent, because P(35 or under)×P(wears glasses)≠P(35 or under and wears glasses)
D. independent, because P(35 or under)×P(wears glasses)=P(35 or under and wears glasses)
Transcribed Image Text:35 or Under
Over 35
Wears Glasses
22
20
Does Not
27
31
Wear Glasses
Expert Solution
Step 1
The data is given by
| 35 or under | Over 35 | Total | |
| Glasses | 22 | 20 | 42 |
| Not glasses | 27 | 31 | 58 |
| Total | 49 | 51 | 100 |
Two events are said to be independent if
P(A and B) = P(A).P(B)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman