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PK0-005 Practice Question: A project manager is estimating the duration of a…

A project manager is estimating the duration of a task that has never been done before. The team provides three estimates: optimistic (4 days), most likely (7 days), and pessimistic (16 days). Using the PERT three-point estimate formula, what is the expected duration?

⚠ Common exam trap

CompTIA often tests the PERT formula by including a distractor that is the simple arithmetic mean (9 days), tempting candidates who forget the weighted 4× multiplier for the most likely estimate.

Answer choices

Why each option matters

Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.

Correct answer & explanation

8 days

The PERT three-point estimate formula is (Optimistic + 4×Most Likely + Pessimistic) / 6. Plugging in the values: (4 + 4×7 + 16) / 6 = (4 + 28 + 16) / 6 = 48 / 6 = 8 days. This weighted average accounts for uncertainty in tasks with no historical data, giving more weight to the most likely estimate.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • 9 days

    Why it's wrong here

    9 is the simple average, not PERT.

  • 8 days

    Why this is correct

    Correct PERT calculation.

  • 7 days

    Why it's wrong here

    7 is the most likely estimate only.

  • 10 days

    Why it's wrong here

    10 is the average of optimistic and pessimistic.

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Written by Johnson Ajibi, MSc IT Security

Senior Network & Security Engineer · founder of Courseiva

This PK0-005 practice question is part of Courseiva's free CompTIA certification practice question bank. Courseiva provides original exam-style practice questions with explanations, topic-based practice, mock exams, readiness tracking, and study analytics to help learners prepare for the PK0-005 exam.