Question

miles and a standard deviation of 3.055 miles. The company wishes to offer guarantee. What should the guaranteed mileage bo if the tire re company has developed a new type of steal-boted radial fre. Extensive lesting indicates the population of mioagos obtained by all sros of this new type is normaly distributed with a mean of 41,063 company desires that no more than 2 percent of the tires will lai to moot the guarantoed mleage? (Use a e-score to 2 decimal places in your a guaramee providing a discount on a new set of tires the orginal tires purchased do not oxceed the mleage stated in the Harts References ย600k&R..ources

Answer 1

Solution :

mean = $\mu$ = 41063

standard deviation = $\sigma$ = 3055

Using standard normal table,

P(Z < z) = 2% = 0.02

P(Z < -2.05) = 0.02

z = -2.05

Using z-score formula,

k = z * $\sigma$ + $\mu$

k = -2.05 * 3055 + 41063 = 34800.25 = 34800

k = 34800 mile