What resource management activity establishes common definitions for the capabilities of personnel and equipment?

The correct answer is the activity that focuses on establishing common definitions for the capabilities of personnel and equipment. This process is crucial in ensuring that there is a clear understanding of what skills and resources are available, as well as what is needed during an incident response or recovery operation.

Qualifying, certifying, and credentialing personnel involves assessing their skills and competencies, which helps in developing a standard framework for who can perform certain tasks and under what conditions. This ensures that all responders have an agreed-upon level of expertise and that equipment is evaluated and classified similarly, facilitating effective coordination during emergencies.

In contrast, activities like evaluating, mobilizing, and standardizing do not primarily focus on the establishment of common definitions. Evaluating may pertain to assessing performance or readiness, mobilizing refers to the deployment of resources, and standardizing typically involves creating uniform practices. However, these do not directly establish the comprehensive understanding of capabilities that is critical for operational success in emergency management scenarios.