Question

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:_____
a. near zero
b. 0.0126
c. 0.1587
d. 0.8413
e. 2.14

Answer 1

Answer:

c. 0.1587

Explanation:

Let x represent no of days for the project to complete

Given, E [x] = 214 =

              [x] = 10

Now, from CLT,  (x - Ц)/б  follows

Standard normal distribution

So, P(x ≥ 224) = P [(x - Ц )/б ≥ (224 - 214) / 10

= p ( z ≥ 1)

= 0.15866