Problem: 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 Times (weeks) Probability A 5 0.25 6 0.35 7 0.25 8 0.15 B 3 0.20 5 0.55 7 0.25 C 10 0.10 12 0.25 14 0.40 16 0.20 18 0.05 D 8 0.40 10 0.60 a. Provide the base-case, worst-case, and best-case calculations for the time to complete the project. b. Use the random numbers 0.1778, 0.9617, 0.8849, and 0.4503 to simulate the completion time of the project in weeks. c. Please use 50 simulations to estimate the probability that the project can be completed in 35 weeks or less. (Please provide an Excel file if you use Excel. You can also provide description, steps, and details and the related files if you use other simulation software.)