In determining automobile mileage ratings, it was found that the mpg ( X ) for a certain model is normally distributed, with a mean of 30 mpg and a standard deviation of 1.5 mpg. Find the following:
a. P(X 6 28)
b. P(28 6 X 6 32)
c. P(X 7 33)
d. P(X 6 31)
e. The mileage rating that the upper 5% of cars achieve