The length of time, Y , that a customer spends in line at a bank teller's window before being served is described by the pdf p_y(y) = .2e^.2y if y 0 and 0 if y < 0.

(a) Find the cumulative density function

(b) What is the probability that a customer will wait more than ten minutes?

(c) What is the probability that a customer waits between 5 and 10 minutes?

(d) A customer comes to the bank on 10 separate occasions. What is the expected number of times she is served in less than 5 minutes