A huge trucking firm determines that its fleet of trucks averages a mean of 12.4 miles per gallon with a standard deviation of 1.2 miles per gallon on cross-country hauls. The distribution of miles per gallon is approximately normally distributed.What is the probability that a randomly selected truck averages fewer than 10 miles per gallon?
A)0.0082
B)0.0228
C)0.4772
D)0.5228
E)0.9772

Question

Quizplus · Accepted Answer

To find the probability that a truck averages fewer than 10 miles per gallon, we calculate the z-score: z = (10 - 12.4) / 1.2 = -2. The probability of a z-score less than -2 is approximately 0.0228.

A Huge Trucking Firm Determines That Its Fleet of Trucks