According to the PMBOK® Guide, the Perform Quantitative Risk Analysis process is the process of numerically analyzing the effect of identified risks on overall project objectives. This process uses mathematical models to provide a quantitative approach to making decisions in the presence of uncertainty.

Decision Tree Analysis: This is a core tool and technique of Quantitative Risk Analysis. It is a diagramming and calculation technique for evaluating the implications of a chain of multiple options in the presence of uncertainty. It uses Expected Monetary Value (EMV) analysis to help the project manager calculate the average outcome when the future includes scenarios that may or may not happen.

Other Quantitative Techniques:

Monte Carlo Simulation: Used to project the probability of achieving specific cost or schedule targets.

Sensitivity Analysis: Often displayed as a Tornado Diagram to determine which risks have the most potential impact on the project.

Distinction from Qualitative Analysis: Quantitative analysis is more complex and data-driven than Qualitative analysis. It is often reserved for large, complex projects or risks that require a high degree of confidence in the contingency reserves.

Analysis of Other Options:

A. Brainstorming: This is a tool used primarily in Identify Risks, not the numerical analysis of the risks.

B. Strategies for opportunities: These (Exploit, Share, Enhance, Accept) are used in the Plan Risk Responses process.

D. Risk data quality assessment: This is a technique used in Perform Qualitative Risk Analysis to evaluate the degree to which the data about risks is useful for risk management.