Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 57 preferred comedies. 40 preferred variety shows. 42 preferred serious drama. 17 preferred comedies and variety programs. 15 preferred variety and serious drama. 18 preferred comedies and serious drama. 8 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows.

57 preferred comedies.
40 preferred variety shows.
42 preferred serious drama.
17 preferred comedies and variety programs.
15 preferred variety and serious drama.
18 preferred comedies and serious drama.
8 preferred all types.
5 did not like any of these TV show types.

If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?

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