SOLUTION: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 78 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,500 miles and a

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 78 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,500 miles and a      Log On


   

Question 1177232: Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 78 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,500 miles and a standard deviation of 1,850 miles. The manufacturer wants to set the guaranteed mileage so that no more than 6% of the tires will have to be replaced. What guaranteed mileage should the manufacturer announce?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
z= invNorm(.06) = 1.5548
1.5548 = (x-47500)/1850
 x = 50376.38
guaranteed mileage should then be: 50,376mi

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