A restaurant manager receives occasional complaints about the quality of both the food and the service. The marginal probability distributions for the number of weekly complaints in each category are shown in the accompanying table. If complaints about food and service are independent of each other, find the joint probability distribution. Numberof FoodComplaints Probability Numberof ServiceComplaints Probability 0 1 2 3 0.12 0.29 0.42 0.17 0 1 2 3 0.18 0.38 0.34 0.10
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 manager receives occasional complaints about the quality of both the food and the service. The marginal
Number of Food Complaints |
Probability | Number of Service Complaints |
Probability |
0 1 2 3 |
0.12 0.29 0.42 0.17 |
0 1 2 3 |
0.18 0.38 0.34 0.10 |
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