32. A new version of a popular spreadsheet software is due to be released in a year. However, the preliminary project team has not been able to come up with an expected completion date. But, as the table that follows shows, they have been able to estimate duration for each activity (in weeks) involved. Because disagreements arose, three time estimates are given: optimistic, most likely and pessimistic. Analyse this situation addressing the questions given below:

(a) Construct a network for the project.

(b) Compute the mean time of each activity.

(

c) Compute the expected project completion time.

(d) Compute the standard deviation of the project completion time.

(e) Determine the likelihood that the project will be completed in 52 weeks.

(f) Determine the likelihood that the project will be completed in 65 weeks.

(g) Determine the probability that the project will not be ready within 70 weeks.

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Activity A Complaints review B Suggestions review C Initial specifications D Team completion - AB Predecessor(s) Optimistic Most Likely Pessimistic E Clarification requests A, B F Detailed specifications D, E G First coding phase F 8 H Preliminary testing G 21323400 2 4 8 2524 3 8 3 4 7 623 12 9 20 5