A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.03 0.01 0.03 1 0.01 0.04 0.04 0.05 2 0.03 0.02 0.04 0.68 What is the expected total number of staff (waiters and chefs) that will show up on any given day?
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.
A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint
| X | ||||
| Y | 0 | 1 | 2 | 3 |
| 0 | k | 0.03 | 0.01 | 0.03 |
| 1 | 0.01 | 0.04 | 0.04 | 0.05 |
| 2 | 0.03 | 0.02 | 0.04 | 0.68 |
What is the expected total number of staff (waiters and chefs) that will show up on any given day?
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