In determining automobile mileageratings, it was found that the mpg in the city for a certain model is normallydistributed, with a mean of 37mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples five cars from its assembly line and tests them for mileage ratings.

a. What is the distribution of the mean mpg for thesample?

b. What is the probability that the mean mpg of the sample will be greater than 39 mpg?

c. What is the probability that the mean mpg of the sample will be less than 35.5 mpg?

d. The distribution is going to be normal, triangular, uniform or exponential?