- A local project analyzed by PERT has 42 activities, 13 of which are on the critical path. If the estimated time along the critical path is 105 days with a project variance of 25, what is the probability that the project will be completed in 98 days or more? (SHOW ALL CALCULATION WORK.)

-The PERT project has 45 activities, 19 of which are on the critical path. The estimated time for the critical path is 120 days. The sum of all activity variances is 64, while the sum of variances along the critical path is 36. What is the probability that the project can be completed between days 112 and 120? (SHOW ALL CALCULATION WORK.)

-A project whose critical path has an estimated time of 820 days with a variance of 225 has a 15% chance that the project will be completed before which day (rounded to nearest day)? (SHOW ALL CALCULATION WORK.)

-If an activity whose normal duration is 13 days can be shortened to 10 days for an added cost of $700, what is the crash cost per period? (SHOW ALL CALCULATION WORK.)