On a particularly busy section of the Garden State Parkway in New Jersey, police use radar guns to detect speeders.
Assume the time that elapses between successive speeders is exponentially distributed with a mean of 15 minutes.
a. Calculate the rate parameter f.
b. What is the probability of a waiting time less than 10 minutes between successive speeders?
c. What is the probability of a waiting time in excess of 25 minutes between successive speeders?