16. If these results correctly predict the performance of this kneepad design, what is the probability that one of the kneepads will require a force of 145 N or greater to cause failure?
Answer: D
The probability that one of the kneepads will require a force of 145 N or greater to cause failure is 25%.
Based on the manufacturer's testing results, 25% of the kneepads failed at a force of 145 N or greater, indicating that this is the likelihood of encountering such failure in this specific kneepad design.
A) 53%
This option is incorrect as it overestimates the probability of kneepads failing at or above 145 N. The testing data indicates that only 25% of the kneepads reached failure at this force level.
B) 22%
While this option is closer to the correct answer than some others, it still underrepresents the actual probability observed in the testing results. The data clearly shows that 25% of kneepads failed at 145 N or greater.
C) 75%
This option significantly overstates the probability of failure at 145 N or greater. The results demonstrate that only a quarter of the tested kneepads reached this failure threshold, making 75% an inaccurate reflection of the performance.
D) 25%
This option accurately reflects the manufacturer's testing results, which indicate that 25% of the kneepads required a force of 145 N or greater to cause failure. This is the correct interpretation of the data presented.
Conclusion
The correct answer, 25%, is directly supported by the testing data that indicates a quarter of the kneepads failed under the specified conditions. Other options either underestimate or overestimate the probability, demonstrating a misunderstanding of the results from the kneepad testing. Thus, 25% is the definitive probability based on the evidence provided.