The questions is in the image. Make sure to explain how you got the answer.

10. The lifetime of tires (in thousands of miles) is normally distributed with a mean of 40 and a standard deviation of 5. A tire manufacturer wants to guarantee that the tires will last at least a certain number of miles. What of number of miles should they guarantee so that only 2% of the tires fail to meet the guarantee? [29.73] Note: This example is a "left area" problem. Know how to solve this problem when asked for a right area as well. 11. The mean volume of soda in a can is normally distributed with a mean of 12.05 ounces and a standard deviation of 0.02 ounces. What proportion of cans contain between 12.00 and 12.03 ounces? [0.1524] 12. A sample of size 12 is drawn from a population with a mean of 12 and a standard deviation of 7. Is it appropriate to use the central limit theorem? [no] In order to use the Central Limit Theorem, the sample size must be greater than or the population must have a distribution. [30, normal]