Final exam scores in a mathematics course are normally distributed with a mean of 71 and a standard deviation of 15. 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); insteadyou must use more precise Z-table values for percentiles.

Exam Scores Z- Scores Percentile

81.05 _________ ___________

26 _________ ____________

__________ 3 ____________

__________ __________ 2.28