Solving Statistic Problem: Low Tire Pressure & Tread Depth

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Homework Statement



when checking tire tread depth at an automobile repair ship, it has been determined that if a tire has low air pressure, there is a 22% probability that its tread depth is less than 1/8 of an inch. on a given day 75 out of 100 tires were found to have a tread depth greater than 1/8 of an inch. how many tiras had low air pressure?

Homework Equations





The Attempt at a Solution



thank for the help...
 
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75 out of 100 tires were found to have a tread depth greater than 1/8 of an inch
So 25 tires had less than 1/8 of an inch, and clearly they have low pressure.

Then "22% probability that its tread depth is less than 1/8 of an inch" of the population of low pressure tires.
 
inchuljang said:

Homework Statement



when checking tire tread depth at an automobile repair ship, it has been determined that if a tire has low air pressure, there is a 22% probability that its tread depth is less than 1/8 of an inch. on a given day 75 out of 100 tires were found to have a tread depth greater than 1/8 of an inch. how many tiras had low air pressure?

Homework Equations





The Attempt at a Solution



thank for the help...
This seems like a conditional probability question. Have you had any thoughts on the problem?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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