A local project being analyzed by PERT has 42 activities,13 of which are on the critical path.If the estimated time along the critical path is 105 days with a project variance of 25,what is the probability that the project will be completed in 95 days or less?
A)-0.4
B)0.0228
C)0.3444
D)0.9772
E)4.2

Question

Quizplus · Accepted Answer

The probability can be found using the Z-score formula: Z = (X - μ) / σ, where X is the target time (95 days), μ is the mean time (105 days), and σ is the standard deviation (sqrt(variance) = sqrt(25) = 5). So, Z = (95 - 105) / 5 = -2. Using the standard normal distribution table, the probability of Z being -2 or less is 0.0228.

A Local Project Being Analyzed by PERT Has 42 Activities,13