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 224 days or more to complete?

Step-by-step explanation:

What is given:

Formula to be used Z = (X - mean) / standard deviation

Mean = 214

X = 224

Variance = 100

Formula of Standard deviation = sqrt(variance) = sqrt(100) = 10

So Z = (224 - 214) / 10 = 10/10 = 1

For z = 1, the probability is 0.3413; 34.13%  ⇒ The probability of project being completed by 224 days is 34.13%