Task: You will be provided a list of the activities of a project with completion time estimate for each activity. You will be asked to answer the following questions.
Question 1: Calculate the expected duration of each activity. Also, calculate the expected duration of each path.
Question 2: Calculate the variance of each activity and variance of each path. Also, calculate the standard deviation of each activity and the standard deviation of each path.
Question 3: Identify the critical path(s) (based on the expected durations).
Question 4: What is the probability that the project can be completed within 49 weeks? What is the probability that the project will NOT be completed within 49 weeks?
Question 5: What is the probability that the project will require 47 weeks or more? What is the probability that the project will NOT require more than 47 weeks?
Question 6: What is the probability that the project will be completed between 45 and 50 weeks?
PLEASE SEE THE DATA.
| ACTIVITY |
Predecessor |
Time Estimates (Minutes) |
|
|
A |
M |
B |
| 1 |
- |
8 |
8 |
8 |
| 2 |
1 |
11 |
12 |
13 |
| 3 |
2 |
9 |
10 |
12 |
| 4 |
3 |
5 |
7 |
10 |
| 5 |
1 |
5 |
6 |
7 |
| 6 |
5 |
14 |
18 |
26 |
| 7 |
6 |
8 |
10 |
14 |
| 8 |
5 |
13 |
13 |
13 |
| 9 |
8 |
10.5 |
13 |
15.5 |
| 10 |
1 |
10 |
12 |
14 |
| 11 |
10 |
7 |
10 |
12 |
| 12 |
11 |
10 |
11 |
12 |
| 13 |
13 |
6 |
6 |
6 |