CopRadar.com reports that the average time for an average driver to react to a red traffic light (which includes recognizing that the light has changed, deciding to stop or to continue, and engaging the brake if stopping) is 2.3 seconds. Assume the time to react to a red traffic light follows an exponential distribution.
a. What is the probability that it will take less than 2 seconds for a driver to react to a red traffic light?
b. What is the probability that it will take more than 3 seconds for a driver to react to a red traffic light?
c. What is the probability that it will take between 2 and 3 seconds for a driver to react to a red traffic light?