Suppose a Poisson process is used to describe the pattern of cars passing by Lizzy as she waits to cross a one-way street, withbeing the frequency of cars per minute. Lizzy needsTseconds to cross the street. Find an expression for how long Lizzy should expect to wait before being able to cross.

Assume that Lizzy takes T seconds to cross the street. Plot the mean crossing time as a function of the Poisson intensity for 0 60 cars per minute for T =5, 10, and 30 seconds.