Problem $7-19($Algo$)$

A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of $2\mathrm{.}0$ per minute. In serving themselves, customers take about $26$ seconds, exponentially distributed. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of $26$ seconds, how long would you expect it to take $($in minutes$)$ to get a cup of coffee, including waiting time?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.