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) What is the probability that a customer will be served within the first 5 minutes?
(b) What is the probability that a customer has to wait for more than 15 minutes?

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) What is the probability that a customer will be served within the first 5 minutes?
(b) What is the probability that a customer has to wait for more than 15 minutes?

Quizplus · Accepted Answer

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) What is the probability that a customer will be served within the first 5 minutes?
(b) What is the probability that a customer has to wait for more than 15 minutes?

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 $p ( t ) = 0.1 e ^ { - 0.1 t } , t > 0$