Final exam scores in a mathematics course are normally distributed with a mean of 72 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); instead you must use more precise Z-table values for percentiles. Exam score Z-score Percentile 87 102 2.28

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