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The probability distribution taken to represent completion time in PERT analysis is:

  • A.Gamma distribution
  • B.Normal distribution
  • C.Beta distribution
  • D.Log-normal distribution

Answer: C

PERT represents activity completion time by a Beta distribution.

PERT assumes each activity time follows a beta distribution, which is bounded by the optimistic and pessimistic times and can be skewed either way. That assumption is what gives the formulas te = (to + 4tm + tp)/6 and σ = (tp - to)/6.

The normal distribution is the trap: it is used for the project completion time, which by the central limit theorem is roughly normal when many activities are added, not for a single activity. Gamma and log-normal are not the PERT assumption.

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