SOLUTION: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,900 miles and a

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,900 miles and a      Log On


   

Question 435309: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,900 miles and a standard deviation of 2,050 miles. The manufacturer wants to set the guaranteed mileage so that no more than 5 percent of the tires will have to be replaced. What guaranteed mileage should the manufacturer announce?
A. 44,528
B. 32,960
C. 49,621
D. 40,922
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

tire's mileage is normally distributed with a mean of 47,900 miles and a standard deviation of 2,050 miles

*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29  

 no more than 5 percent of the tires will have to be replaced...

then z = -1.6449

 x = -1.6449*2050 + 47900 = 44,528