2= Expected time = 17 weeks. Scheduled time = 17 + 4 = 21 weeks. 21-17 Z = = 1.33 3 p=0.9082 Therefore, the probability of completing the project in not more that 21 weeks is s 90.82%. (e) When the project due date is 19 weeks: 19-17 0.667 0.67, 3 for which, p = 0.7486 or 74.86% - The probability of meeting the due date is 74.86% and the probability of not meeting the due date is 25.14% Scheduled time = 20 weeks. 20-17 Z= 1, for which p = 84.13%. 3 Value of Z for p = 0.9 is = 1.28. T-17 1.28 = or T = 17 +3.84 = 20.84 weeks. 3 c16 EXAMPLE 14.13-6 A PERT network is shown in Fig. 14.37. The activity times in days are given along the arrows. The scheduled times for some important events are given along the nodes. Determine the critical path and probabilities of meeting the scheduled dates for the specified events. Tabulate the results and determine slack for each event