(3) A project was planned using PERT. Its expected completion time was determined to be 85 days. The variance of the critical path is 49. What is the probability the project will be completed within 75 days (5 decimal places)? Let X = the project completion time. P(X Please show how you use the Normal Curve Table to obtain your answer in the space below.
(3) A project was planned using PERT. Its expected completion time was determined to be 85 days. The variance of the critical path is 49. What is the probability the project will be completed within 75 days (5 decimal places)? Let X = the project completion time. P(X Please show how you use the Normal Curve Table to obtain your answer in the space below.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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![### Project Management Using PERT and Critical Path Analysis
#### Problem 3
A project was planned using the Program Evaluation and Review Technique (PERT). The following parameters were determined for the project:
- **Expected completion time**: 85 days
- **Variance of the critical path**: 49
**Question**: What is the probability that the project will be completed within 75 days (with an accuracy of 5 decimal places)? Let \( X \) represent the project completion time.
**Required Calculation**:
\[ P(X \leq 75) = \]
Please use the Normal Curve Table to demonstrate how you derive your answer in the provided space below.
---
#### Problem 4
Conduct a project management analysis using the data below to determine the early start (ES), early finish (EF), late start (LS), late finish (LF), and slack for each activity, the total project completion time, and the critical path.
**Activity Data:**
| Activity | Time (weeks) | Predecessors | Activity | Time (weeks) | Predecessors |
|----------|--------------|--------------|----------|--------------|--------------|
| A | 13 | — | E | 11 | B |
| B | 12 | F | F | 13 | B |
| C | 10 | A | G | 17 | C, E |
| D | 9 | A | H | 14 | D, F |
**Tasks**:
(a) Draw a network with ES, EF, LS, and LF. Follow the same format as Figure 11.5 on page 394.
(b) Fill in the following table, similar to Table 11.3 on page 396:
| Activity | Time (weeks) | ES | EF | LS | LF | Slack | Critical? |
|----------|--------------|----|----|----|----|-------|-----------|
| A | | | | | | | |
| B | | | | | | | |
| C | | | | | | | |
| D | | | | | | | |
| E | | | | |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa84f4618-86b2-4a5b-a65b-3fceba435a29%2Fcacd8d92-a9ac-432b-83c4-52b368df4448%2Fh3k8g99_processed.png&w=3840&q=75)
Transcribed Image Text:### Project Management Using PERT and Critical Path Analysis
#### Problem 3
A project was planned using the Program Evaluation and Review Technique (PERT). The following parameters were determined for the project:
- **Expected completion time**: 85 days
- **Variance of the critical path**: 49
**Question**: What is the probability that the project will be completed within 75 days (with an accuracy of 5 decimal places)? Let \( X \) represent the project completion time.
**Required Calculation**:
\[ P(X \leq 75) = \]
Please use the Normal Curve Table to demonstrate how you derive your answer in the provided space below.
---
#### Problem 4
Conduct a project management analysis using the data below to determine the early start (ES), early finish (EF), late start (LS), late finish (LF), and slack for each activity, the total project completion time, and the critical path.
**Activity Data:**
| Activity | Time (weeks) | Predecessors | Activity | Time (weeks) | Predecessors |
|----------|--------------|--------------|----------|--------------|--------------|
| A | 13 | — | E | 11 | B |
| B | 12 | F | F | 13 | B |
| C | 10 | A | G | 17 | C, E |
| D | 9 | A | H | 14 | D, F |
**Tasks**:
(a) Draw a network with ES, EF, LS, and LF. Follow the same format as Figure 11.5 on page 394.
(b) Fill in the following table, similar to Table 11.3 on page 396:
| Activity | Time (weeks) | ES | EF | LS | LF | Slack | Critical? |
|----------|--------------|----|----|----|----|-------|-----------|
| A | | | | | | | |
| B | | | | | | | |
| C | | | | | | | |
| D | | | | | | | |
| E | | | | |
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