Toby's trucking company determined that on an annual basis, the distance traveled per truck is normally distributed, with a mean of 50,000 miles and a standard deviation of 12,000 miles how many miles will be traveled by at least (equal to and more than) 72% of the trucks?

56994 miles

Explanation:

Given : Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is normally distributed with

Standard deviation :

Let a be the distance traveled by at least 72% of the trucks.

Let X be the random variable that represents the distance traveled by a truck

Then

The critical value corresponds to p-value 0.72 :

Also,

Hence, 56994 miles will be traveled by at least (equal to and more than) 72% of the trucks .

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