Consider an urgent care facility with a single doctor. Patients arrive at this facility according to a Poisson process with rate of 3 patients per hour. The doctor sees the patients on a first-come-first-serve basis. On average, the doctor spends 15 minutes with each patient. The actual time of seeing a patient follows an exponential distribution.

1. The utilization of this doctor is:

a. 0.20

b. 0.75

c. 0.85

d. 1.33

2. The average time that a patient spends in the clinic (in minutes) is:

a. 10

b. 25

c. 45

d. 60