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 Probability (weeks) Activity 0.27 A 0.34 9 0.22 10 0.17 11 0.22 8 B 0.54 10 0.24 12 0.06 7 0.27 0.38 11 0.19 13 0.10 15 0.66 8 D 0.34 10 a. Provide the base-case, worst-case, and best-case calculations for the time to complete the project. Activity Base case Best case Worst case weeks weeks weeks A weeks weeks weeks weeks weeks weeks weeks weeks weeks D weeks weeks weeks Total b. Use the random numbers 0.8851, 0.4903, 0.4437 and 0.5022 to simulate the completion time of the project in weeks. Activity Random Number Completion Time 0.8851 weeks A B weeks 0.4903 weeks 0.4437 weeks 0.5022 Total weeks c. 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 of times weeks and under can be used to estimate the probability that the project will be completed within weeks