Kelle Carpet and Trim installs carpet in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table: Activity A B C D E F G H I J K This exercise contains only part a. a) Based on the activity time estimates, the expected times and variance for each of the activities are: (Round your responses to two decimal places.) a 4 10 1 7 2 1 7 10 4 13 5 Time (days) m 5 11 2 8 4 2 11 11 6 15 9 b 9 12 3 9 6 3 14 12 8 17 13 Immediate Predecessor(s) с B, D A, E Α.Ε. E F G C H, I

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**Project Management: Time Estimation for Carpet Installation in Commercial Offices**

Kelle Carpet and Trim specializes in installing carpets in commercial office spaces. Recently, Peter Kelle has expressed concerns about the varying timeframes required to complete past projects. This variability largely stems from some employees' inconsistent performance. To address this, a detailed list of activities, along with their optimistic, most likely, and pessimistic completion times (all recorded in days), is provided below:

| Activity | Time (days) |        | Immediate Predecessor(s) |
|:--------:|:-----------:|:------:|:------------------------:|
|          |  a  |  m  |  b  |                             |
| A        |  4  |  5  |  9  |   —                         |
| B        | 10  | 11  | 12  |   —                         |
| C        |  1  |  2  |  3  |   —                         |
| D        |  7  |  8  |  9  |  C                          |
| E        |  2  |  4  |  6  |  B, D                       |
| F        |  1  |  2  |  3  |  A, E                       |
| G        |  7  | 11  | 14  |  A, E                       |
| H        | 10  | 11  | 12  |  F                          |
| I        |  4  |  6  |  8  |  G                          |
| J        | 13  | 15  | 17  |  C                          |
| K        |  5  |  9  | 13  |  H, I                       |

**Note:** This exercise focuses only on part a.

**Objective:**

- **a)** Calculate the expected time and variance for each activity based on the provided time estimates.
- **Instructions:** Round your responses to two decimal places.

| Activity | Expected Time | Variance |
|:--------:|:-------------:|:--------:|
| A        |               |          |
| B        |               |          |
| C        |               |          |
| D        |               |          |
| E        |               |
Transcribed Image Text:**Project Management: Time Estimation for Carpet Installation in Commercial Offices** Kelle Carpet and Trim specializes in installing carpets in commercial office spaces. Recently, Peter Kelle has expressed concerns about the varying timeframes required to complete past projects. This variability largely stems from some employees' inconsistent performance. To address this, a detailed list of activities, along with their optimistic, most likely, and pessimistic completion times (all recorded in days), is provided below: | Activity | Time (days) | | Immediate Predecessor(s) | |:--------:|:-----------:|:------:|:------------------------:| | | a | m | b | | | A | 4 | 5 | 9 | — | | B | 10 | 11 | 12 | — | | C | 1 | 2 | 3 | — | | D | 7 | 8 | 9 | C | | E | 2 | 4 | 6 | B, D | | F | 1 | 2 | 3 | A, E | | G | 7 | 11 | 14 | A, E | | H | 10 | 11 | 12 | F | | I | 4 | 6 | 8 | G | | J | 13 | 15 | 17 | C | | K | 5 | 9 | 13 | H, I | **Note:** This exercise focuses only on part a. **Objective:** - **a)** Calculate the expected time and variance for each activity based on the provided time estimates. - **Instructions:** Round your responses to two decimal places. | Activity | Expected Time | Variance | |:--------:|:-------------:|:--------:| | A | | | | B | | | | C | | | | D | | | | E | |
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