An honor society on campus only accepts the top 13% of students (according to GPA). If the GPAS of all students on campus are known to be a normally distributed with a mean of 2.99 and a standard deviation of 0.45, determine the minimum GPA a student must achieve in order to be admitted to the honor society. Round the solution to two decimal places, if necessary. A minimum GPA of is required for admission to the honor society.

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