A project is described by the simple activity network shown at the right, consis

Question

A project is described by the simple activity network shown at the right, consisting of directed branches representing activities and nodes representing the beginning/termination of activities. The duration in days of two activities A, B and C in the construction project are denoted as TA, TB and TC, whose probability mass functions (pmfs) are given below. Assume that TA, TB and TC are statistically independent. 3. Activity A Activity C Complotion Activity B Start day 0 Pr(TA:D) 32.14% 14.29% 3.57% 0.00% 3.57% 14.29% 32.14% Pr(TB-D} 26.28% 16.33% 9.95% 7.15% 7.91% 12.25% 20.15% Pr(TCD) 20.41% 18.37% 16.33% 14.29% 12.24% 10.20% 8.16% Activities A and B are scheduled to start simultaneously at day 0. Node (a) represents the completion of both activities A and B, and node (b) represents the completion of the project. Activity C can start only when both A and B are completed. Determine and plot the pmf of the time T required to complete the project. Compute its mean, its 2 variance and the most likely time required to complete the project.

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please post the question in a proper orientation, can't rotate my neck 90 degrees right for such a long time. Thank you

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