A project being analyzed by PERT has 60 activities, 13 of which are on the critical path. If the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take less than 224 days to complete?
A) near zero
B) 0.0126
C) 0.1587
D) 0.8413
E) 2.14

Question

Quizplus · Accepted Answer

To find the probability that the project will take less than 224 days to complete, we use the formula for the Z-score: Z = (X - μ) / σ, where X is the desired time (224 days), μ is the mean (214 days), and σ is the standard deviation (the square root of the variance, which is √100 = 10). Plugging in the values, we get Z = (224 - 214) / 10 = 1. The Z-score of 1 corresponds to a probability of 0.8413, indicating the probability that the project will be completed in less than 224 days.

A Project Being Analyzed by PERT Has 60 Activities, 13