In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 36 mpg and a standard deviation of 1.6 mpg. Suppose that the car manufacturer samples seven cars from its assembly line and tests them for mileage ratings. a. What is the distribution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 37 mpg? c. What is the probability that the mean mpg of the sample will be less than 35.5 mpg? a. What is the distribution of the mean mpg for the sample? Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed.) O A. The sampling distribution of the mean follows an exponential distribution with the sample mean the standard deviation of the sample mean mpg. B. The sampling distribution of the mean follows a uniform distribution with the sample mean standard deviation of the sample mean mpg. O C. The sampling distribution of the mean follows a triangular distribution with the sample mean standard deviation of the sample mean mpg. mean D. The sampling distribution of the mean follows a normal distribution with the sample mea standard deviation of the sample mean mpg. b. The probability that the mean mpg of the sample will be greater than 37 mpg is (Round to four decimal places as needed.) c. The probability that the mean mpg of the sample will be less than 35.5 mpg is (Round to four decimal places as needed.) mpg and mpg and the mpg and the mpg and the