Exercise 2 Fifty managers of a large chain Hotel were selected and classified according to their gender and region. The result is shown in the following table Region Male Female Total West Cost 6 10 16 Southern 10 4 14 East Cost 12 8 20 Total 28 22 50 What is the probability that the manager selected is a female, knowing that her region is East Cost? Are gender and functional background-independent for this set of executives?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Exercise 2

Fifty managers of a large chain Hotel were selected and classified according to their gender and region. The result is shown in the following table

Region

Male

Female

Total

West Cost

6

10

16

Southern

10

4

14

East Cost

12

8

20

Total

28

22

50

  1. What is the probability that the manager selected is a female, knowing that her region is East Cost?
  2. Are gender and functional background-independent for this set of executives?
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