Due to a recent increase in business, a paralegal must now process an average of 20 legal briefs per day (assume a Poisson distribution). It takes him approximately 20 minutes to prepare each brief (assume an exponential distribution).
Assuming the paralegal works 8 hours per day:
a) What is the paralegal’s utilization rate?
b) What is the average waiting time before the paralegal processes a brief ?
c) What is the average number of briefs waiting to be done?
d) What is the probability that the paralegal has more than 5 briefs to do?