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PMPCAPM

Three-Point Estimating (PERT)

Three-point estimating uses three estimates (optimistic, most likely, and pessimistic) to define an approximate range for an activity's duration or cost, improving accuracy by considering estimation uncertainty.

Explanation

Three-point estimating, often associated with the Program Evaluation and Review Technique (PERT), addresses the inherent uncertainty in single-point estimates by considering three scenarios. The optimistic estimate (O) represents the best-case duration assuming everything goes well. The most likely estimate (M) represents the duration given normal conditions and expected resources. The pessimistic estimate (P) represents the worst-case duration if significant problems occur.

Two common formulas are used to calculate the expected duration. The triangular distribution uses a simple average: (O + M + P) / 3. The beta distribution (PERT) weights the most likely estimate more heavily: (O + 4M + P) / 6. The beta distribution is more commonly used on the PMP exam and produces an estimate that is more weighted toward the most likely outcome.

The standard deviation of a PERT estimate is calculated as (P - O) / 6, and the variance is the square of the standard deviation: [(P - O) / 6]^2. These values are used in quantitative risk analysis and to determine confidence intervals for the project schedule. A wider spread between optimistic and pessimistic estimates indicates greater uncertainty in the activity duration.

Key Points

  • Uses three estimates: Optimistic (O), Most Likely (M), Pessimistic (P)
  • Beta/PERT formula: (O + 4M + P) / 6
  • Triangular formula: (O + M + P) / 3
  • Standard deviation: (P - O) / 6; Variance: [(P - O) / 6]^2

Exam Tip

Memorize both formulas. The beta (PERT) formula (O + 4M + P) / 6 is more commonly tested. Know how to calculate standard deviation and variance for schedule risk questions.

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