Each Tuesday, the new residents at an inpatient rehabilitation clinic must visit the medication lab and have all of their existing medications inventoried when they arrive. The interarrival times of patients to the medication lab follow a uniform distribution with an upper bound of 45 minutes and a lower bound of 30 minutes. The service times to have their medication logged follow a normal distribution with a mean of 20 minutes and a standard deviation of 5 seconds.
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Calculate the following summary statistics:
a. Number of patients who wait
b. Probability of waiting
c. Average wait time
d. Maximum wait time
e. Percentage of time server is busy
f. Number waiting > 1 minute
g. Probability of waiting > 1 minute
h. Average number of patients in line
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