The density function for the life of a certain type of battery is modeled by $p ( t ) = 0.2 e ^ { - 0.2 t } , t 0$ and is measured in months.(a) Find the median life of the batteries.(b) Find the mean life of the batteries.(c) Sketch the graph of the density function showing the median and mean.

Question

The density function for the life of a certain type of battery is modeled by $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$ and is measured in months.(a) Find the median life of the batteries.(b) Find the mean life of the batteries.(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 life of a certain type of battery is modeled by $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$ and is measured in months.(a) Find the median life of the batteries.(b) Find the mean life of the batteries.(c) Sketch the graph of the density function showing the median and mean.

The Density Function for the Life of a Certain Type p(t)=0.2e−0.2t,t>0p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0p(t)=0.2e−0.2t,t>0

The Density Function for the Life of a Certain Type $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$