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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

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BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

A computer company advertises its computers in PC World, in PC Magazine, and on television. A survey of 770 customers finds that the number: of customers who are familiar with the company’s con putters because of the different forms of advertising an as follows.

305, PC World 290, PC Magazine 390, television

110, PC World and PC Magazine

135, PC Magazine and television

150, PC World and television

85, all three sources

How many of the surveyed customers know about the computers because of

a. exactly one of these forms of advertising?

b. exactly two of these forms of advertising?

c. PC World and neither of the other two forms of advertising’?

(a)

To determine

How many of the surveyed customers know about the computers because of

Exactly one of these forms of advertising?

Explanation

Given Information:

Advertising. A computer company advertises its computers in PC World, in PC Magazine, and on television. A survey of 770 customers finds that the numbers of custom customers who are familiar with the company’s computers because of the different forms of advertising are as follows.

  305 , PC World

  290 , PC Magazine

  390 , television

  110 , PC World and PC Magazine

  135 , PC Magazine and television

  150 , PC World and television

  85 , all three sources

Concept used:

Suppose that W denote the set of people familiar with the advertisement on PC World, M denotes the set of people familiar with the advertisement on PC Magazine and T denotes the set of people familiar with the advertisement on television.

Consider the following values

  n(W)=305n(M)=290n(T)=390

  n(WM)=110n(MT)=135n(WT)=150n(

(b)

To determine

How many of the surveyed customers know about the computers because of

Exactly two of these forms of advertising?

(c)

To determine

How many of the surveyed customers know about the computers because of

PC World magazine and neither of the other two forms of advertising?

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