The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation of $3,500. The price of cars is normally distributed.

a. If someone bought a car for $32,000, what proportion of cars cost an equal amount or more than this?

b. If someone bought a car for $16,000, what proportion of cars cost an equal amount or more than this?

c. At what percentile rank is a car that sold for

$30,000?

d. At what percentile rank is a car that sold for

$12,000?

e. What proportion of cars were sold for an amount between $12,000 and $30,000?

f. For what price would a car at the 16th percentile have sold?