Question

A project's critical path is ABDE. The project activity information (in weeks) are as follows. Assume the project finish time follows a normal distribution.

Activity A B C D E F
Expected FT 4 2 5 9 7 4
Variance 4 5 2 8 6 2

If the project deadline is set to be 27 weeks, then what is the z-value to determine the probability that the project will be finished before the given deadline?

Answer 1

To determine the z-value to determine the probability that the project will be finished before the given deadline, we need to calculate the project's expected finish time (EFT) and standard deviation (SD). The EFT is found by summing up the expected times of all activities in the critical path, which in this case is 27 weeks. The SD is calculated by summing up the variances of all activities in the critical path, which in this case is 5 weeks. The z-value is 0.

Step-by-step explanation:

To determine the z-value to determine the probability that the project will be finished before the given deadline, we need to calculate the project's expected finish time (EFT) and standard deviation (SD). The EFT is found by summing up the expected times of all activities in the critical path, which in this case is 4 + 2 + 5 + 9 + 7 = 27 weeks. The SD is calculated by summing up the variances of all activities in the critical path, which in this case is √(4 + 5 + 2 + 8 + 6) = √25 = 5 weeks. To find the z-value, we subtract the project deadline from the EFT and divide it by the SD: (27 - 27) / 5 = 0. Therefore, the z-value is 0.