QUESTION $1$

Rainfall data from ISWS Bulletin $70\{$for the Chicago area resulted in an intensity$-$durationfrequency $($IDF$)$ relation given by: $i=\frac{a{T}_r^d}{t_d^b+c}$ where $T_r$ is the return period in years, $t_d$ is the rainfall duration in minutes, $i$ is the rainfall intensity in in$/$hr$,$ and $a,b,c,$ and $d$ are empirical constants $)=101,b=0\mathrm{.}99,c=21\mathrm{.}5,d=(0\mathrm{.}23.$

Using the uniform rainfall distribution for a $2-$year $($A$.$E$.$P$.=0\mathrm{.}5),1\mathrm{.}0-$hour storm, what is the amount of rain $($in inches$)?$

QUESTION $2$

Rainfall data from ISWS Bulletin $70\{$for the Chicago area resulted in an intensity$-$durationfrequency $($IDF$)$ relation given by: $i=\frac{a{T}_r^d}{t_d^b+c}$ where $T_r$ is the return period in years, $t_d$ is the rainfall duration in minutes, $i$ is the rainfall intensity in in$/$hr$,$ and $a,b,c,$ and $d$ are empirical constants $)=101,b=0\mathrm{.}99,c=21\mathrm{.}5,d=(0\mathrm{.}23.$

What is the max precipation per rainfall interval for a $350$ square mile watershed located in Chicago, for an annual exceedance probability of $0\mathrm{.}20$ and a total storm duration of $6-$hr$,$ using a rainfall time interval of $0\mathrm{.}8hr$ and a balanced triangular distribution.