Civil Engineering MCQAE Level Civil Engineering

In PERT, the expected duration te of an activity with optimistic time a, most likely time m, and pessimistic time b (beta distribution) is:

Estimation and CostingPERT Beta DistributionMEDIUM

Choose the correct answer

A

te = (a + m + b) / 3

B

te = (a + 4m + b) / 6

C

te = (a + b) / 2

D

te = m only

Correct Answer

B. te = (a + 4m + b) / 6

Why is this the answer?

PERT: te = (a + 4m + b)/6; variance sigma^2 = ((b-a)/6)^2. Expected project duration = sum of te on critical path. Variance of project = sum of variances on critical path. Project completion time follows normal distribution. Probability of completing by time T: Z = (T - sum_te) / sqrt(sum_sigma^2).

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