Solving Statistic Problem: Low Tire Pressure & Tread Depth

  • Thread starter inchuljang
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In summary, on a given day, 25 out of 100 tires were found to have a tread depth less than 1/8 of an inch, indicating low air pressure. This is based on the 22% probability that a tire with low air pressure has a tread depth less than 1/8 of an inch.
  • #1
inchuljang
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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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  • #2
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.
 
  • #3
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?
 

1. How do I determine if my tire pressure is too low?

To determine if your tire pressure is too low, you can use a tire pressure gauge to measure the pressure in each tire. The recommended tire pressure can usually be found on a sticker inside your car's door jamb or in the owner's manual. If the measured pressure is below the recommended level, then your tire pressure is too low.

2. What is considered low tire pressure?

The definition of low tire pressure can vary depending on the make and model of your car, but generally, it is considered to be below the recommended tire pressure. This can range anywhere from 32 to 35 PSI (pounds per square inch) for most cars. It's important to check your specific vehicle's recommended tire pressure for an accurate measurement.

3. How does low tire pressure affect my vehicle's performance?

When your tire pressure is too low, it can affect your vehicle's performance in several ways. First, it can cause your tires to wear unevenly, leading to a shorter lifespan for your tires. It can also decrease your vehicle's fuel efficiency and handling, making it more difficult to control. Low tire pressure can also increase the risk of a tire blowout, which can be dangerous while driving.

4. How do I know when my tire tread depth is too low?

To determine if your tire tread depth is too low, you can use a tread depth gauge to measure the depth of the grooves in your tires. The recommended tread depth is typically 4/32 of an inch or higher. If the measured tread depth is below this level, then your tire tread is too low and it's time to replace your tires.

5. What are the consequences of driving with low tire pressure and tread depth?

Driving with low tire pressure and tread depth can have serious consequences. It can increase the risk of accidents, as your vehicle will have less traction and control on the road. It can also cause your tires to wear out more quickly, leading to the need for frequent replacements. Additionally, low tire pressure and tread depth can decrease your vehicle's fuel efficiency, costing you more money in the long run.

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