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Fast Service Truck Lines uses the Ford Super Duty F-750exclusively. Management m

ID: 2916056 • Letter: F

Question

Fast Service Truck Lines uses the Ford Super Duty F-750exclusively. Management made a study of the maintenance costsand determined the number of miles traveled during the yearfollowed the normal distribution. The mean of the distributionwas 60,000miles and the standard deviation 2,000 miles

a.       What percent of the FordSuper Duty F-750s logged 65,200 miles or more?

b.      What percent of the truckslogged more than 57,060 but less than 58,280?

c.       What percent of the Fordstraveled 62,000 miles or less during the year?

d.      Is it reasonable to concludethat any of the trucks were driven more than 70,000 miles?Explain.

Explanation / Answer

X~Normal(60000, 2000^2) (a)P(X>=65,200)=P((x-)/ >=(65,200-60,000)/2000)=P(Z>=2.6)=1-P(Z