A kneepad manufacturer tested a new kneepad design for use i

A kneepad manufacturer tested a new kneepad design for use i - GED Prep

Question

A kneepad manufacturer tested a new kneepad design for use in industrial settings. In order to be rated for the intended use, the kneepads each needed to withstand a force of 100 newtons (N) on the outside of the kneepad without distorting the inside by more than 5 millimeters. During testing, the force on each kneepad was steadily increased until the kneepad failed. The table shows the manufacturer’s results from testing 100 of the kneepads.

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?

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Answers

22%
75%
correct

25%
53%

Explanation

To calculate this probability, we need to determine how many kneepads failed at 145 N or higher, then divide by the total number of kneepads tested.

From the data:

22 failed between 145-149.99 N

3 failed between 150-154.99 N

So 22 + 3 = 25 kneepads failed at 145 N or higher.

The total number of kneepads tested was 100.

Therefore, the probability is 25/100 = 0.25 or 25%.

This calculation assumes the sample of 100 kneepads is representative of the overall production. The 25% probability indicates that about a quarter of these kneepads would withstand forces of 145 N or greater before failing, which could be important information for assessing their durability and suitability for industrial use.

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