The distribution of sale prices (online) for four-year-old Harley Davidson touring motorcycles is approximately Normally distributed with a mean
of $14,000 and a standard deviation of $4,000.
8. What proportion of available motorcycles are priced at or below $9,000? Show your work.
9. What proportion of available motorcycles are priced at or below $12,000? Show your work.
10. Mr. Kawasaki plans to spend between $9,000 and $12,000 on a motorcycle. What proportion of the available motorcycles of this type can he
afford?
11. What is the approximate z-score for the 30th percentile in the standard Normal distribution?
12. Hence, what is the 30th percentile for the prices of motorcycles of this type? Show your work.