The accompanying data were obtained in a study conducted by the manager of SavMore Supermarket. In this study, the number of customers waiting in line at the express checkout at the beginning of each 3-min interval between 9 A.M.and 12 noon on Saturday was observed. Customers 0 1 2 3 4 5 6 7 8 9 10 Frequency of Occurrence 2 3 1 9 8 7 12 8 2 5 3 (a) Find the probability distribution of the random variable X, where X denotes the number of customers observed waiting in line. (Round your answers to three decimal places.) Customers P(X = x) 0 1 2 3 4 5 6 7 8 9 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.
The accompanying data were obtained in a study conducted by the manager of SavMore Supermarket. In this study, the number of customers waiting in line at the express checkout at the beginning of each 3-min interval between 9 A.M.and 12 noon on Saturday was observed.
| Customers | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Frequency of Occurrence |
2 | 3 | 1 | 9 | 8 | 7 | 12 | 8 | 2 | 5 | 3 |
| Customers |
P(X = x)
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|---|---|---|
| 0 | ||
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 | ||
| 9 | ||
| 10 |
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