project comprises five tasks, A, B, ..., E. Their relations to each other are shown in the following table: Task Immediate predecessor 4 C D E 4 4 BC The durations of all tasks are uncertain. More specifically, they have the following underlying probability distributions: Activity: Duration Probability Random 3 3 2 3 12 Activity B: Duration Probability Random 6 3 7 .1 Activity C: Duration 2 Probability 4 Random 5 6 Activity D: Duration Probability Random 3 2 3 Activity Duration Probability Random Perform ten simulations as follows. First assign single-digit random numbers 1, 2, ..., 9,0 to the durations of each of the five activities, based on their respective probabilities. Then, for each simulation, use one block of random digits each (below) to generate the durations of the five activities in the network. Then determine the critical path & the duration of the project in this specific instance. Record & repeat for a total of ten times. What is the average duration of the project? What is the proportion of time that A-C-E is (one of the critical path(s)? Show all work. Random numbers 62691 75854 45919 04402 06727 30302 21239 37010 28755 16170