Explanation: Quantitative risk analysis helps to numerically analyze the probability and impact of risks on project objectives. By performing quantitative risk analysis, the risk manager can present the risks with the most impact on achieving the project objectives to the project sponsor. (Reference: PMBOK Guide, 6th Edition, p. 423)
According to the PMI Risk Management Professional (PMI-RMP) Reference Materials, sensitivity analysis is a type of probabilistic analysis that determines how sensitive the results of the analysis are to uncertainties in input variables. Sensitivity analysis determines which uncertainty has the greatest potential for an impact on the project objectives, such as cost, schedule, scope, or quality1. In this case, the risk manager should use sensitivity analysis to facilitate the sponsor’s ask, as it will help to identify and present the risks that have the most impact on achieving the project objectives. Sensitivity analysis can also show how the project objectives will vary with the changes in the input variables, such as the probability and impact of risks2. Sensitivity analysis can be performed using various tools and techniques, such as tornado diagrams, spider charts, or influence diagrams3.
References: 1: PMI, A Guide to the Project Management Body of Knowledge (PMBOK® Guide), Sixth Edition, 2017, p. 403 2: PMI, Practice Standard for Project Risk Management, 2009, p. 95 3: Quantitative Risk Analysis in Project Management - PM-Training