Question

A factory that produces tires tests a certain number every day with approximately 10% of tires found defective. If 240 units are tested and they find 206 tires without defect, what is the percent chance of finding a defective tire? If the theoretical model is valid and 1000 units of that model are tested, would the company expect the probability to stay the same, increase, or decrease?

Options:
A. 13.3%; stay the same
B. 15.8%; decrease
C. 14.2%; increase
D. 13.3%; decrease

Answer 1

The percent chance of finding a defective tire is 14.17%. If 1000 units of the same model are tested, the company can expect the probability of finding a defective tire to stay the same.

Step-by-step explanation:

To determine the percent chance of finding a defective tire, we need to calculate the percentage of defective tires out of the total number of tires tested. In this case, out of the 240 tires tested, 206 were found without defects. So, the number of defective tires would be 240 - 206 = 34. To find the percentage, we divide the number of defective tires by the total number of tires and multiply by 100. So, the percent chance of finding a defective tire is (34/240) x 100% = 14.17% (rounded to two decimal places).

If 1000 units of the same model are tested, we can expect the probability of finding a defective tire to stay the same. This is because the percentage of defective tires is based on the quality of the tire model and not the number of units tested. As long as the quality of the tire model remains consistent, the probability of finding a defective tire should remain the same.