1. Assume that rainfall depths (at daily timescale) are exponentially distributed with parameter . When rain reaches the top of the trees in a forest, any depths that is lower than gets trapped in the canopy and never reaches the forest floor. If your rain gauge is placed on the forest floor, what is the new distribution for the depths ofthroughfall eventsthat's measured by your rain gauge? (Hint: apply the memoryless property of exponential distributions).