Civil Engineering MCQAE Level Civil Engineering
In PERT, if the expected project duration Te = 20 weeks and standard deviation σ = 2 weeks, the probability of completing the project within 24 weeks (Z value for 2σ is 0.9772) is approximately:
Construction ManagementPERT ProbabilityMEDIUM
Choose the correct answer
A
50%
B
84.1%
C
97.7%
D
99.9%
Correct Answer
C. 97.7%
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Z = (T_s − Te)/σ = (24 − 20)/2 = 2.0. From normal distribution tables, P(Z ≤ 2.0) = 0.9772 ≈ 97.7%. This means a 97.7% chance of finishing by week 24 — schedule has generous buffer.
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