Final answer:
Deming suggested that when errors occur, there's an 85% chance that the system is to blame and a 15% chance it's the fault of an individual worker. The safety engineer's belief that 35% of accidents are due to employees not following instructions leads to related probability calculations.
Step-by-step explanation:
Deming proposed that when something goes wrong, chances are 85 that the system is at fault, and 15 that the individual worker is at fault. This view reflects Deming's focus on systems and processes in quality management. When applied to the scenario of the safety engineer, if she feels that 35 percent of all industrial accidents in her plant are caused by failure of employees to follow instructions, the probability that she will have to examine at least three reports to find an accident caused by employee failure would involve geometric probability calculations.