$4$Problem. A storm precipitation was documented at a recording rain gage that is located within a small urban watershed in City of Miami Beach, Florida. The area of the watershed is $250,000m^2.$ The record reports the following:

a$).$ Plot the hyetograph of the storm as rainfall intensity versus time.

b$).$ Compute the total storm rainfall depth in inches

c$).$ Which time interval had the highest rainfall intensity? And what was that intensity in inches per hour?

$\backslash$table$[[$Time Interval,Rainfall$],[($hours$),($centimeters$)],[0,0],[0\mathrm{.}0\mathrm{.}5,5\mathrm{.}0],[0\mathrm{.}5-1\mathrm{.}0,10\mathrm{.}0],[1\mathrm{.}0-1\mathrm{.}5,12\mathrm{.}0],[1\mathrm{.}5-2\mathrm{.}0,7\mathrm{.}0],[2\mathrm{.}0-2\mathrm{.}5,3\mathrm{.}0],[2\mathrm{.}5-3\mathrm{.}0,0]]$