In determining automobile mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 39 mpg and a standard deviation of 1.6 mpg. Complete parts a through e below.
a. Find P(X < 38).
P(X < 38) = (Round to four decimal places as needed.)
b. Find P(36 < X < 42).
P(36 < X < 42) = (Round to four decimal places as needed.)
c. Find P(X > 41).
P(X > 41) = (Round to four decimal places as needed.)
d. Find P(X > 38).
P(X > 38) = (Round to four decimal places as needed.)
e. Find the mileage rating that the upper 10% of cars achieve.
The mileage rating that the upper 10% of cars achieve is mpg. (Round to two decimal places as needed.)