In: Advanced Math
The following table represents a project with four activities. All times are in weeks.
Activity |
Immediate Predecessor |
Optimistic Time |
Most Likely Time |
Pessimistic Time |
A |
- |
4 |
8 |
16 |
B |
- |
7 |
8 |
9 |
C |
A |
6 |
10 |
18 |
D |
B |
5 |
13 |
18 |
A. According to the data in the table. What is the critical path?
B. According to the data in the table, what is the minimum expected completion time for the project?
C. According to the table there are four activities in the project. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. If you wished to find the probability of finishing the project in 21 weeks or fewer. It would be necessary to find the variance and then the standard deviation to be used with the normal distribution. What variance and standard deviation would be used?
D. According to the table, There are four activities in the project. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. What is the probability that the project is finished in 20 weeks or fewer.