A project being analyzed by PERT has 38 activities, 16 of which are on the critical path. If the estimated time along the critical path is 90 days with a project variance of 25, what is the probability that the project will be completed in 88 days or less?
A) 0.02275
B) 0.34458
C) 0.65542
D) 0.97725
E) 18

Question

Quizplus · Accepted Answer

To find the probability that the project will be completed in 88 days or less, we need to use the normal distribution formula:

P(Z ≤ (88-90)/√25)

P(Z ≤ -0.4)

Using a standard normal table or calculator, we find that this probability is 0.34458. Therefore, the best choice is B.

A Project Being Analyzed by PERT Has 38 Activities, 16