The density function for the waiting time at a bank is modeled by $p ( t ) = 0.1 e ^ { - 0.1 t } , t 0$ and is measured in minutes.(a) Find the median waiting time.(b) Find the mean waiting time.(c) Sketch the graph of the density function showing the median and mean.

Question

The density function for the waiting time at a bank is modeled by $p ( t ) = 0.1 e ^ { - 0.1 t } , t > 0$ and is measured in minutes.(a) Find the median waiting time.(b) Find the mean waiting time.(c) Sketch the graph of the density function showing the median and mean.

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The Answer of The density function for the waiting time at a bank is modeled by $p ( t ) = 0.1 e ^ { - 0.1 t } , t > 0$ and is measured in minutes.(a) Find the median waiting time.(b) Find the mean waiting time.(c) Sketch the graph of the density function showing the median and mean.

The Density Function for the Waiting Time at a Bank p(t)=0.1e−0.1t,t>0p ( t ) = 0.1 e ^ { - 0.1 t } , t > 0p(t)=0.1e−0.1t,t>0

The Density Function for the Waiting Time at a Bank $p ( t ) = 0.1 e ^ { - 0.1 t } , t > 0$