Some states have college admission programs that guarantee the top p% of high school graduates (in terms of GPA) admission into a state university. Suppose a state guarantees the top 9% of high school students admission into its university system. In addition, suppose the distribution of all high school students GPAs are normally distributed with a mean of 3. 16 and standard deviation of 0. 14. Determine the minimum GPA required for a student to be guaranteed admission into the state's university system. Round the solution to two decimal places, if necessary