keeping car tires inflated is essential to safe driving. for one type of car tire, the tire pressure in…

keeping car tires inflated is essential to safe driving. for one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately normal with a mean of 35 psi and a standard deviation of 2 psi. a tire is labeled as underinflated if its pressure is 32 psi or below. what percentage of tires are underinflated? find the z - table here. 2.28% 6.68% 93.32% 97.72%

keeping car tires inflated is essential to safe driving. for one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately normal with a mean of 35 psi and a standard deviation of 2 psi. a tire is labeled as underinflated if its pressure is 32 psi or below. what percentage of tires are underinflated? find the z - table here. 2.28% 6.68% 93.32% 97.72%

Answer

Explanation:

Step1: Calculate the z - score

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x = 32$ (the value of interest), $\mu = 35$ (mean) and $\sigma=2$ (standard deviation). $z=\frac{32 - 35}{2}=\frac{- 3}{2}=-1.5$

Step2: Find the proportion from the z - table

Looking up the z - score of - 1.5 in the standard normal (z) table, the value corresponding to $z=-1.5$ is 0.0668. This represents the proportion of values to the left of $z = - 1.5$ under the standard normal curve. To convert this proportion to a percentage, we multiply by 100. So the percentage is $0.0668\times100 = 6.68%$

Answer:

6.68%