A remote controlled undersea vehicle detects debris from a sunken craft at a rate of 60 pieces per hour. The time to detect debris can be modeled using an exponential distribution.
a) What is the probability that the time to detect the next piece of debris is less than 2 minutes? (hint: the rate λ needs to be in the same units as the random variable)
b) What is the probability that the time to detect the next pieces of debris is between 2.5 and 4.5 minutes?
c) What is the median time to detection of debris?