Question: Question 1 (50 pts) Task Predecessor Task(s) A B Optimistic Time (day) 4 7 11 10 7 22 A A B Most Likely Time (day)

Question 1 (50 pts) Task Predecessor Task(s) A B

Question 1 (50 pts) Task Predecessor Task(s) A B Optimistic Time (day) 4 7 11 10 7 22 A A B Most Likely Time (day) 7 23 14 22 23 29 Pessimistic Time (day) 10 27 17 28 27 D E C F DE 30 a) (30pts) Draw PERT diagram. Please draw detail with your calculations. b) (10pts) Find the critical path and explain. c) (5pts) Describe where there is slack time in the system. d) (10pts) Calculate expected time and standard deviation and variance of each task. e) (2.5 pts) - What is the project completion week. (2.5 pts) - What is the probability of project completion time is 15 weeks. (2.5 pts) - Find the confidence interval for project completion time. (2.5 pts) - The upper limit of the project completion time. f) (35pts) Draw the gantt chart of the project

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