Problem 12-09 (Algorithmic) 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 Time Activity (weeks) Probability A 5 0.27 6 0.37 7 0.23 8 0.13 B 3 0.19 5 0.57 7 0.24 14 0.09 16 0.25 18 0.41 20 0.23 22 0.02 D 11 0.67 13 0.33 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 weeks weeks weeks D weeks weeks weeks Total weeks weeks weeks b. Use the random numbers 0.9898, 0.4048, 0.5585 and 0.9355 to simulate the completion time of the project in weeks. Activity Random Number Completion Time A 0.9898 weeks B 0.4048 weeks C 0.5585 weeks D 0.9355 weeks Total weeks c. Discuss how simulation could be used to estimate the probability that the project can be completed in weeks or less. of times weeks and under can be used to estimate the probability that Simulation provides a distribution of project completion times. The the project will be completed within weeks