The distribution of grades in an introductory finance class is normally distributed, with an expected grade of $77.$ If the standard deviation of grades is $12,$ in what range would you expect $90\mathrm{.}00$ percent of the grades to fall? $($Round intermediate calculations to $3$ decimal places, e$.$g$.1\mathrm{.}525$ and final answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.$ Hint: Think in terms of what the expected highest and lowest scores would be for $90\mathrm{.}00\%$ of the students taking the exam.$)$

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$90\mathrm{.}00$ percent of the grades should fall between the ranges $($lower end$)$