Question

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?

Answer 1

Answer:

required probability is .3446

Step-by-step explanation:

It is given that most expected time of completion = 90 days

Variance = 25

We know that

$\sigma =\sqrt{Variance}\\\\\sigma =\sqrt{25}\\\sigma =5$

Thus the standard normal deviate is given by

$Z=\frac{X-\bar{X}}{\sigma }$

Applying values we get

$Z=\frac{88-90}{5}\\\\Z=-0.4$

Using the standard table for Z we have probability corresponding to Z = -0.4 equals 0.3446

Thus required probability is .3446