Problem #2 - Wendy's Waiting Line A manager of a local Wendy's restaurant performed a study to determine the amount of time her customers wait in line during lunchtime. The data she collected is produced below. No. of minutes 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Percentage 0.011 0.035 0.089 0.150 0.186 0.172 0.132 0.098 0.063 0.035 0.019 0.002 0.006 0.001 0.001 Determine the average number of minutes a customer might expect to wait during lunchtime.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Problem #2 – Wendy’s Waiting Line**

A manager of a local Wendy’s restaurant performed a study to determine the amount of time her customers wait in line during lunchtime. The data she collected is presented below.

| No. of minutes | Percentage |
|----------------|------------|
| 0              | 0.011      |
| 1              | 0.035      |
| 2              | 0.089      |
| 3              | 0.150      |
| 4              | 0.186      |
| 5              | 0.172      |
| 6              | 0.132      |
| 7              | 0.098      |
| 8              | 0.063      |
| 9              | 0.035      |
| 10             | 0.019      |
| 11             | 0.002      |
| 12             | 0.006      |
| 13             | 0.001      |
| 14             | 0.001      |

**Determine the average number of minutes a customer might expect to wait during lunchtime.**

In this study, the manager recorded the percentage of customers for each waiting time from 0 to 14 minutes. The highest percentages are for 3 to 6 minutes, indicating that most customers experience a wait within this time range. To find the average waiting time, calculate the weighted average using the given percentages and corresponding waiting times.
Transcribed Image Text:**Problem #2 – Wendy’s Waiting Line** A manager of a local Wendy’s restaurant performed a study to determine the amount of time her customers wait in line during lunchtime. The data she collected is presented below. | No. of minutes | Percentage | |----------------|------------| | 0 | 0.011 | | 1 | 0.035 | | 2 | 0.089 | | 3 | 0.150 | | 4 | 0.186 | | 5 | 0.172 | | 6 | 0.132 | | 7 | 0.098 | | 8 | 0.063 | | 9 | 0.035 | | 10 | 0.019 | | 11 | 0.002 | | 12 | 0.006 | | 13 | 0.001 | | 14 | 0.001 | **Determine the average number of minutes a customer might expect to wait during lunchtime.** In this study, the manager recorded the percentage of customers for each waiting time from 0 to 14 minutes. The highest percentages are for 3 to 6 minutes, indicating that most customers experience a wait within this time range. To find the average waiting time, calculate the weighted average using the given percentages and corresponding waiting times.
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