The table below lists rainfall data recorded at a USGS gauge for three storm events.

$($a$)$ Plot the cumulative mass curve $($in centimeters$)$ and the hyetograph $($in centime$-$

ters per hour$)$ for each storm. Use time steps of $15$ minutes for your calculations.

$($b$)$ For each storm, when did the maximum rainfall intensity occur?

$($c$)$ Which storm had the highest rainfall intensity?

$($d$)$ Which storm had the longest duration?