MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 events "The person is 35 or under," and "The person wears glasses," dependent or independent?

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)
35 or Under Over 35 Wears Glasses 22 20 Does Not 27 31 Wear Glasses
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Transcribed Image Text:35 or Under Over 35 Wears Glasses 22 20 Does Not 27 31 Wear Glasses
Expert Solution
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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)

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