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) What is the probability that a battery will wear out during the first month of use?
(b) What is the probability that a battery is functioning for more than 12 months?

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) What is the probability that a battery will wear out during the first month of use?
(b) What is the probability that a battery is functioning for more than 12 months?

Quizplus · Accepted Answer

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) What is the probability that a battery will wear out during the first month of use?
(b) What is the probability that a battery is functioning for more than 12 months?

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 $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$