Question: Project Scheduling with Uncertain Time: activity Immediate Time (weeks) Most predecessor Optimistic Probable Pessimistic A 2 4 8 B A 4 6 10 C A
Project Scheduling with Uncertain Time:
| activity | Immediate | Time (weeks) | Most | ||
| predecessor | Optimistic | Probable | Pessimistic | ||
| A | 2 | 4 | 8 | ||
| B | A | 4 | 6 | 10 | |
| C | A | 2 | 7 | 12 | |
| D | A | 1 | 3 | 7 | |
| E | C, D | 2 | 4 | 6 | |
| F | B, C | 3 | 7 | 12 | |
| G | E, F | 2 | 3 | 6 | |
| H | F, G | 3 | 7 | 10 | |
Solve the problem and enter your answers to the questions:(round the ET to one decimal place and the variance, standard dev, and z-score to 2 decimal places)
1. What are the critical path activities?
2. What is the expected completion time for the project (#of weeks)?
3. What are the variance and standard deviation for the critical path?
4. What is the probability that the project can be completed in less than 30 weeks?
5. What is the probability that the project can be completed in more than 30 weeks?
Be sure to enter your answers as follow:
For (1): show the sequence of critical path activities letters.
For (2): show the answer is # of weeks.
For (3): must show the variance of the critical path, standard deviation.
For (4): show the probability of completing the project within 30 weeks. Once you find the z-score value, you need to reference Appendix B to determine the probability. P(T<=30)
For (5): show the probability of completing the project in more than 30 weeks. Once you find the z-score value, you need to reference Appendix B to determine the probability. P(T>=30)
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