PMI-SP Time Estimating & Resource Allocation 3 — Questions and Answers
Question 1: An activity has an optimistic estimate of 3 days, a pessimistic estimate of 15 days, and a most likely estimate of 6 days. What is the PERT expected duration?
- 6 days
- 7 days (Correct answer)
- 8 days
- 9 days
Correct answer: 7 days
PERT = (3 + 4×6 + 15) / 6 = (3 + 24 + 15) / 6 = 42 / 6 = 7 days.
Question 2: What does a resource histogram primarily display?
- The sequence of activities assigned to each resource
- The amount of work planned for a resource over time (Correct answer)
- The cost of each resource per activity
- The float available for resource-constrained tasks
Correct answer: The amount of work planned for a resource over time
A resource histogram is a bar chart showing the quantity of resource usage over the project timeline, making over-allocations visually apparent.
Question 3: Which technique reassigns non-critical tasks to off-peak periods to smooth resource demand without changing the project end date?
- Resource leveling
- Resource smoothing (Correct answer)
- Fast-tracking
- Crashing
Correct answer: Resource smoothing
Resource smoothing adjusts activities within their available float to reduce peak resource demand while keeping the project finish date unchanged.
Question 4: A PMI-SP candidate needs to estimate effort for writing 50 test cases. Historical data shows a senior tester writes 5 test cases per day. What estimating technique uses this productivity rate?
- Three-point estimating
- Parametric estimating (Correct answer)
- Analogous estimating
- Bottom-up estimating
Correct answer: Parametric estimating
Parametric estimating multiplies a unit productivity rate (5 test cases/day) by the quantity (50 test cases) to derive the effort estimate.
Question 5: When a project has a fixed end date and insufficient resources, which strategy is MOST appropriate?
- Extend activity durations to reduce resource requirements
- Add resources to critical path activities (Correct answer)
- Remove non-critical activities from the schedule
- Apply resource smoothing to all tasks
Correct answer: Add resources to critical path activities
Adding resources to critical path activities (crashing) can compress the schedule to meet a fixed end date when resources are the constraint.
Question 6: The standard deviation of a PERT activity estimate is calculated as:
- (P - O) / 6 (Correct answer)
- (P + O) / 2
- (P - O) / 3
- (P - M) / 6
Correct answer: (P - O) / 6
The standard deviation for a PERT estimate is (Pessimistic - Optimistic) / 6, representing the uncertainty spread of the estimate.
Question 7: What term describes the maximum amount of time an activity can be delayed from its early start without delaying any successor activity?
- Total float
- Free float (Correct answer)
- Project float
- Negative float
Correct answer: Free float
Free float is the amount of time an activity can be delayed without affecting the early start of any immediately following activity.
An activity has an optimistic estimate of 3 days, a pessimistic estimate of 15 days, and a most likely estimate of 6 days.
What is the PERT expected duration?