Lightning strikes are a forest fire hazard. Therefore, it is important to model lightning strike patterns within a region. If time between lightning strikes for a region follows an exponential distribution with a rate of 5 per hour:
a) What is the probability that the amount of time that passes between two consecutive lightning strikes is more than two minutes?
b) What is the probability that the amount of time that passes between two consecutive lightning strikes is less than one minute?
c) Find the probability that the amount of time that passes between two consecutive lightning strikes is between one and two minutes.