Question: A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each

A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:

Activity Activity Time (weeks) Probability
A 3 0.30
4 0.33
5 0.26
6 0.11
B 7 0.19
9 0.55
11 0.26
C 15 0.10
17 0.22
19 0.44
21 0.20
23 0.04
D 8 0.66
10 0.34

A. Provide the base-case, worst-case, and best-case calculations for the time to complete the project.

Activity Base case Worst case Best case
A ----weeks ------ weeks ----weeks
B ---- weeks ------- weeks -----weeks
C ---- weeks ------weeks ------weeks
D -----weeks -----weeks -----weeks
Total -----weeks -------weeks ------weeks

B. Use the random numbers 0.8634, 0.8928, 0.7531 and 0.7648 to simulate the completion time of the project in weeks.

Activity Random Number Completion Time
A 0.8634 -------weeks
B 0.8928 -------weeks
C 0.7531 --------weeks
D 0.7648 --------weeks
Total ----weeks

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