The undergraduate grade point averages $($UGPA$)$ of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. $($a$)$ What is the minimum UGPA that would still place a student in the top $15\%$ of UGPAs?$($b$)$ Between what two values does the middle $50\%$ of the UGPAs lie?$3\mathrm{.}2442\mathrm{.}48$Grade point average$=3\mathrm{.}24=0\mathrm{.}18$x A normal curve labeled mu $=3\mathrm{.}24$ and sigma $=0\mathrm{.}18$ is over a horizontal x$-$axis labeled Grade point average from $2\mathrm{.}48$ to $4$ in increments of $0\mathrm{.}38$ and is centered on $3\mathrm{.}24.$Question content area bottomPart $1($a$)$ The minimum UGPA that would still place a student in the top $15\%$ of UGPAs is enter your response here.$($Round to two decimal places as needed.$)$ Part $2($b$)$ The middle $50\%$ of UGPAs lies between enter your response here on the low end and enter your response here on the high end.