A Wendy’s manager performed a study to determine a probability distribution for the number of people, X, waiting in a line during lunch. The results were as follows. Find and interpret the probability that 10 or more people are waiting in line for lunch? Probability x P(x) x P(x) 0 0.011 7 0.098 1 0.035 8 0.063 2 0.089 9 0.035 3 0.150 10 0.019 4 0.186 11 0.004 5 0.172 12 0.006 6 0.132 Would you use normal distribution, discrete distribution, or binomial distribution to solve the problem? Why?
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 Wendy’s manager performed a study to determine a probability distribution for the number of people, X, waiting in a line during lunch. The results were as follows. Find and interpret the probability that 10 or more people are waiting in line for lunch?
Probability
| x | P(x) | x | P(x) |
|---|---|---|---|
| 0 | 0.011 | 7 | 0.098 |
| 1 | 0.035 | 8 | 0.063 |
| 2 | 0.089 | 9 | 0.035 |
| 3 | 0.150 | 10 | 0.019 |
| 4 | 0.186 | 11 | 0.004 |
| 5 | 0.172 | 12 | 0.006 |
| 6 | 0.132 |
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