The ADJO Sheriff's Department has reviewed its booking times for its urban jail. Booking an inmate usually requires only a few hours until prisoners are appropriately incarcerated. Depending upon the speedi- ness of the jailers and administrators and the amount of time required for booking, ADJO has noticed that it usually takes an average of 3 hours to complete the booking process, with a standard deviation of half an hour. Based on these data, answer the following questions:
a. What is the probability that booking will require less than 2 hours?
b. What is the probability that booking will require between 2 and 5 hours?
c. What is the probability that booking will require more than 5 hours?