An athletic therapist has an average of 27.6 patients at his clinic every day. If his clinic is open for 8 hours every day, and the patients are typically evenly distributed throughout the day, determine the probability that he will see the following number of patients:

a. No patients in the first hour of the day tomorrow?

b. Between 1 and 3 patients in the first hour of the day tomorrow (inclusive)?

c. At least 4 patients in the first hour of the day tomorrow?