A project was analyzed using the standard PERT procedure. The expected completion time for the project was found to be 45 weeks, and the project variance was calculated to be 25. The project completion time is normally distributed, and the activity times are independent.
a) What is the probability that the project is finished in 47 weeks or less?
b) What is the probability that the project will take longer than 47 weeks?
c) What is the probability that the project is finished in 40 weeks or less?
d) If management wishes to schedule the due-date for finishing the project to be such that there is only a 10% chance on being late, what due-date should be set?