Final answer:
Hence, the answer would be 1/.35, which equals approximately 2.86 reports.
Step-by-step explanation:
The question does not refer to a mathematical equation with a single defined answer, but more likely to a conceptual framework used in the health and safety field. Therefore, none of the choices a, b, c, or d given directly represent a universally accepted equation for safety performance. However, an approach to improving safety performance could involve enhancing an individual's ability, motivation, and opportunity to perform safely. In the context of engineering and safety management, these concepts are often considered important factors. For example:
- Ability could include skills and knowledge gained through education and experience.
- Motivation might involve the personal drive or organizational incentives that encourage safe work practices.
- Opportunity might represent the presence of the necessary tools, equipment, and organizational support to carry out a task safely.
Moreover, given the probability p = .35 that a safety engineer will find a report showing an accident caused by employee failure to follow instructions, if we want to predict how many reports on average the safety engineer would expect to look at to find such an accident report, we would calculate the expected value using the geometric distribution formula, where the expected number of trials (reports) to the first success is 1/p. Hence, the answer would be 1/.35, which equals approximately 2.86 reports.