Problem

Use the table in Example To find n(Y ∪ D).Surveying Media UsersA media company that produc...

Use the table in Example To find n(YD).

Surveying Media Users

A media company that produces Pilates videos surveyed its customers to determine whether they would prefer to purchase the videos by buying an access code to allow them to download from a Web site, purchase hard copies on a DVD, or access the videos via a podcast. The company has extracted the following table of information from its customer database:

 

Access Code (A)

Podcast (P)

DVD (D)

Total

Under 41 (Y)oung

20

15

9

44

41 to 55 (M)iddle-aged

44

34

8

86

Over 55(S)enior

31

14

5

50

Total

95

63

22

180

a) Find the number of elements in M ∪ D.


b) Find the number of elements in A’.

SOLUTION:

a) The number of elements in MD is the number of people who are middle-aged orprefer DVDs. Thus,

b) A’ is the set of people who do not want to buy an access code, so

n(A’) = 63 + 22 = 85.

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