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)0.0228
B)0.3446
C)0.6554
D)0.9772
E)18

Question

Quizplus · Accepted Answer

Since the estimated time along the critical path is 90 days with a project variance of 25, the standard deviation is √25=5. Therefore, the z-score for completing the project in 88 days or less is (88-90)/5=-0.4. 
Using a standard normal distribution table, the probability of a z-score being less than or equal to -0.4 is 0.3446. Therefore, the probability that the project will be completed in 88 days or less is 0.3446.

A Project Being Analyzed by PERT Has 38 Activities,16 of Which