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 7 0.26 8 0.32 9 0.24 10 0.18 B 5 0.23 7 0.56 9 0.21 C 8 0.06 10 0.20 12 0.44 14 0.22 16 0.08 D 9 0.60 11 0.40 a. Provide the basecase, worstcase, and bestcase calculations for the time to complete the project. mm "Emm lamm -i:m:m lamm -:mi:m b. Use the random numbers 0.7805, 0.7679, 0.9249 and 0.78 to simulate the completion time of the project in weeks. m Random Number Completion Time \" - 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 Y of times weeks and under can be used to estimate the probability that the project will be completed within weeks