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

Short Answer

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?