Use the table in Example To find n(Y ∪ D).
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 M ∪ D 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.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.