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Problem 12-09 (Algorithmic)A project has four activities (A, B, C, and D) that must beperformed sequentially. The probability distributions for the timerequired to complete each of the activities are as follows:ActivityActivity Time(weeks)ProbabilityA30.2940.3850.2960.04B70.2290.53110.25C90.05110.24130.36150.19170.16D100.59120.41Provide the base-case, worst-case, and best-case calculationsfor the time to complete the project.ActivityBase caseWorst caseBest caseA_____weeks_____weeks_____weeksBweeksweeksweeksCweeksweeksweeksDweeksweeksweeksTotalweeksweeksweeksUse the random numbers 0.7584, 0.7279, 0.4741 and 0.9526 tosimulate the completion time of the project in weeks.ActivityRandom NumberCompletion TimeA0.7584____weeksB0.7279weeksC0.4741weeksD0.9526weeksTotalweeks