The manager of a grocery store in the retirement community of Sunnyville is interested in providing good serviceto the senior citizens who shop in her store. Currently, the store has a separate checkout counter for senior citi-zens. On average, 30 senior citizens per hour arrive at the counter, according to a Poisson distribution, and areserved at an average rate of 35 customers per hour, with exponential service times. Find the following operatingcharacteristics:a. Probability of zero customers in the systemb. Average utilization of the checkout clerkc. Average number of customers in the systemd. Average number of customers in linee. Average time spent in the systemf. Average waiting time in line
The manager of a grocery store in the retirement community of Sunnyville is interested in providing good service
to the senior citizens who shop in her store. Currently, the store has a separate checkout counter for senior citi-
zens. On average, 30 senior citizens per hour arrive at the counter, according to a Poisson distribution, and are
served at an average rate of 35 customers per hour, with exponential service times. Find the following operating
characteristics:
a. Probability of zero customers in the system
b. Average utilization of the checkout clerk
c. Average number of customers in the system
d. Average number of customers in line
e. Average time spent in the system
f. Average waiting time in line
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