When customers arrive at gilley's ice cream shop, they take a number and wait to be called to purchase ice cream from one of the three counter serves. on summer days between 3-10pm, customers arrive at the rate 36 per hour - poisson distributed. it takes an average 4 minutes to serve a customer - exponential distributed. gilley's want to make sure that customers, on average, wait no longer than 10 minutes. what is the proper queueing model for this problem?
a. m/m/1 queue
b. m/m/s queue
c. m/m/1/c (finite capacity/finite queue)
d. m/m/1/fp (finite population queue)
2. what percentage of time gilley's has no customer in the shop?
a. 11.1%
b. 5%
c. 5.6%
d. 3.5%
3. what is the average number of customers waiting for the ice cream?
a. 0.889 customers
b. 4.933 customers
c. 2.589 customers
d. 1 customers
4. on average, how long does it take for a customer from the moment he/she arrives until he/she gets hie/her ice cream?
a. 11.59 minutes
b. 5.43 minutes
c. 5.78 minutes
d. 8.32 minutes
5. what percentage of customers who must wait for a counter server to become available?
a. 42.87%
b. 44.44%
c. 64.72%
d. 75.89%
6. what is the maximum number of customers waiting in the room for the probability of 95%
a. 3 customers
b. 5
c. 11
d 18