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
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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 of the activities are as follows:
Activity Activity Time (weeks) Probability A 4 0.34 5 0.35 6 0.25 7 0.06 B 7 0.18 9 0.58 11 0.24 C 11 0.11 13 0.20 15 0.38 17 0.17 19 0.14 D 9 0.62 11 0.38 - 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 fill in the blank 1 weeks fill in the blank 2 weeks fill in the blank 3 weeks B fill in the blank 4 weeks fill in the blank 5 weeks fill in the blank 6 weeks C fill in the blank 7 weeks fill in the blank 8 weeks fill in the blank 9 weeks D fill in the blank 10 weeks fill in the blank 11 weeks fill in the blank 12 weeks Total fill in the blank 13 weeks fill in the blank 14 weeks fill in the blank 15 weeks - Use the random numbers 0.3919, 0.8051, 0.8652 and 0.4619 to simulate the completion time of the project in weeks.
Activity Random Number Completion Time A 0.3919 fill in the blank 16 weeks B 0.8051 fill in the blank 17 weeks C 0.8652 fill in the blank 18 weeks D 0.4619 fill in the blank 19 weeks Total fill in the blank 20 weeks - Discuss how simulation could be used to estimate the probability that the project can be completed in weeks or less. Simulation provides a distribution of project completion times. The*** mean or percentage*** of times weeks and under can be used to estimate the probability that the project will be completed within weeks.
- Provide the base-case, worst-case, and best-case calculations for the time to complete the project.
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