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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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