Final exam scores in a mathematics course are normally distributed with a mean of 64 and a standard deviation of 11. Based on the above information and a Z-table, fill in the blanks in the table below.

Precision and other notes: (1) Percentiles should be recorded in percentage form to three decimal places.
(2) Note that this problem does not use the rough values of the 68-95-99.7 rule (that is, the empirical rule); instead you must use more precise Z-table values for percentiles.

Exam scoreZ-scorePercentile
71.37
31
3
84.13

You can earn partial credit on this problem.