Time Estimates (week) Activity Optimistic Most Likely Pessimistic Immediate Predecessor(s) A 1 4 7 B 2 6 10 C 3 3 9 B D 6 13 14 A E 4 6 14 A, C F 6 8 16 B G 2 5 8 D, E, F
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Here is the network activity diagram for Project Mango: A (1, 4, 7) \ \ \ B (2, 6, 10) \ \ \ C (3, 3, 9) \ \ \ D (6, 13, 14) \ \ Show more…
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The following table shows the activities needed to complete a project along with precedences and activity durations. The precedence column (headed "Follows") shows which activities must be completed before a given activity can begin. REQUIRED: a) Calculate mean duration and standard deviation for all activities using the beta distribution. (4 points) b) Construct a network diagram for this problem using the mean durations calculated in part (a), calculate the ES(Prec.), the LS(Foll.) and total float for all the activities, and hence identify the critical path . What is the mean completion time for the project? What is the standard deviation of the critical path? (3 0 points) c) What is the 92% confidence interval for the length of the critical path? (4 points) d) Assuming that the probability distribution of the length of the critical path can be approximated by a normal distribution with the mean and standard deviation calculated in part (b), calculate the probability of completing the project within 18 days . (4 points) e) What is the probability of completing the project between 12 and 17 days? (4 points) f) Answer the project manager’s question: “I want to tell the client a project length which I am 77% sure that we can meet - what figure should I give them?” (4 points) This question is worth a total of 50 points. You must solve it either electronically or using a pen and paper. Then you must submit a single file showing your work and answers to each question. The file can be in such formats as PDF, Word, Excel, PowerPoint, JPEG etc.
Rachel G.
Madhur L.
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