Free Project Risk Management Quantitative Risk Analysis Questions and Answers — Questions and Answers
Question 1: A project manager is analyzing the risks for a complex construction project. To determine which individual risks have the most potential impact on the project's overall cost, the manager varies one risk at a time while holding all other variables constant. The results are then plotted in a bar chart, with the longest bars at the top representing the most impactful risks. Which quantitative risk analysis technique is being used?
- Monte Carlo Analysis
- Decision Tree Analysis
- Sensitivity Analysis (Correct answer)
- Expected Monetary Value (EMV)
Correct answer: Sensitivity Analysis
Sensitivity analysis, often displayed as a tornado diagram, is used to determine which individual risks or sources of uncertainty have the most potential impact on a project objective. It examines the effect of varying one input variable at a time on an outcome, which is precisely what the scenario describes. Monte Carlo analysis simulates the combined effect of many risks, Decision Tree analysis evaluates choices with uncertainty, and EMV calculates the average outcome of a single risk.
Question 2: A project has a 40% chance of a 'scope creep' risk occurring, which would result in a cost of $200,000. It also has a 20% chance of an opportunity to finish a key phase early, which would result in a savings of $50,000. What is the Expected Monetary Value (EMV) for the project considering only these two events?
- -$90,000
- -$70,000 (Correct answer)
- $80,000
- -$150,000
Correct answer: -$70,000
Expected Monetary Value (EMV) is calculated by multiplying the probability of each risk or opportunity by its monetary impact and summing the results. For the threat: 40% * (-$200,000) = -$80,000. For the opportunity: 20% * (+$50,000) = +$10,000. The total EMV is -$80,000 + $10,000 = -$70,000.
Question 3: A project manager for a new software development project is trying to forecast the most likely completion date and budget. The project has many tasks with uncertain durations and costs. To understand the combined effect of all these uncertainties and to determine the probability of meeting specific targets, which quantitative risk analysis technique would be most appropriate?
- Monte Carlo Simulation (Correct answer)
- Tornado Diagram
- Assumption and Constraint Analysis
- Decision Tree Analysis
Correct answer: Monte Carlo Simulation
Monte Carlo simulation is a technique used to understand the impact of risk and uncertainty on a project. It runs thousands of iterations, using random values for uncertain variables (like task durations and costs) to produce a probability distribution of possible project outcomes, such as completion dates and final costs. This allows the manager to see the probability of achieving specific schedule or cost targets.
Question 4: A pharmaceutical company is deciding whether to proceed with an expensive clinical trial for a new drug. The trial has a 60% chance of success, which would lead to a profit of $50 million. It has a 40% chance of failure, resulting in a loss of $20 million. Which of the following tools is best suited to model this decision and calculate the potential financial outcome?
- Risk Register
- Sensitivity Analysis
- Monte Carlo Simulation
- Decision Tree Analysis (Correct answer)
Correct answer: Decision Tree Analysis
Decision Tree Analysis is the ideal tool for this scenario. It is used to evaluate decisions under uncertainty by mapping out the choices, their probabilities, and their potential outcomes in a tree-like structure. It allows for the calculation of the Expected Monetary Value (EMV) for each branch (decision path) to identify the most financially sound choice.
Question 5: Which of the following is a primary output of the Perform Quantitative Risk Analysis process?
- A prioritized list of individual project risks
- Updates to the risk register, including risk owners
- A probabilistic analysis of project objectives (Correct answer)
- The risk management plan
Correct answer: A probabilistic analysis of project objectives
A key output of Perform Quantitative Risk Analysis is a probabilistic analysis of the project, which provides forecasts for project outcomes such as completion dates and costs. This often includes a probability distribution of possible outcomes (e.g., from a Monte Carlo simulation) and the likelihood of achieving specific targets. While the risk register is updated (an input), and risks are prioritized (often done qualitatively first), the core quantitative output is the numerical analysis of overall project objectives. The risk management plan is an input to this process, not an output.
Question 6: A project manager is performing a quantitative risk analysis and wants to determine the amount of cost contingency reserve needed. The analysis produces a cumulative probability distribution (S-curve) for the project's total cost. If the stakeholders have a moderate risk tolerance and agree to accept a 20% chance of a cost overrun, what value on the S-curve should the project manager use for the budget?
- The 20th percentile (P20) value
- The 50th percentile (P50) value
- The 80th percentile (P80) value (Correct answer)
- The 100th percentile (P100) value
Correct answer: The 80th percentile (P80) value
The S-curve shows the probability of achieving a certain outcome or less. If stakeholders are willing to accept a 20% chance of overrun, this means they want an 80% probability of being at or below the budgeted cost. Therefore, the project manager should select the cost associated with the 80th percentile (P80) on the S-curve. This value represents the point where there is an 80% chance the project cost will be that amount or less, and a 20% chance it will be more.
