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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 |
- If a manager is randomly selected from this group, what is the
probability that the manager is a female? - What is the probability that a randomly selected manager from this group is a male whose region is West Cost?
- What is the probability that the manager selected region is Southern, knowing that she is a male?
- 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?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
