Question: Question 6 (16 marks) Use the Program Evaluation and Review Technique (PERT) to analyse project with the following activities. Activity Optimistic (weeks) 8 Most Likely

Question 6 (16 marks) Use the Program Evaluation

Question 6 (16 marks) Use the Program Evaluation and Review Technique (PERT) to analyse project with the following activities. Activity Optimistic (weeks) 8 Most Likely (weeks) 10 Pessimistic (weeks) 18 Preceding activities A B 5 7 23 D E 13 10 11 6 15 12 20 14 B AC D 29 4 5 12 F G 3 4 2 4 E E G F, H H 6 14 I 2 3 4 (a) Determine the mean duration and the standard deviation of the duration of each activity. Describe and explain the assumption(s). (b) Estimate the mean and the standard deviation of the completion time of the project. Describe and explain the assumption(s) and steps in your estimation. (c) Find the probability that the project can be completed within 70 weeks and determine the completion time corresponding to 40% probability of project completion

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