2. ABC Store operates with four check-out counters. The manager uses the following schedule to determine the number of counters in operation, depending on the number of customers in store: No. of customers in store 1 to 3 No. of counters in operation 1 4 to 6 2 7 to 8 3 More than 8 4 Suppose that the interarrival time at the checkout area is exponential with mean 5 minutes and that the checkout time per customer is also exponential with mean 10 minutes. Determine the following: (a) The steady-state probabilities, 7, for all j. (b) The probability that a fourth counter will be needed. (c) The average number of idle counters

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2. ABC Store operates with four check-out counters. The manager uses the following schedule to determine the
number of counters in operation, depending on the number of customers in store:
No. of customers in store
1 to 3
No. of counters in operation
1
4 to 6
2
7 to 8
3
More than 8
4
Suppose that the interarrival time at the checkout area is exponential with mean 5 minutes and that the
checkout time per customer is also exponential with mean 10 minutes. Determine the following:
(a) The steady-state probabilities, 7, for all j.
(b) The probability that a fourth counter will be needed.
(c) The average number of idle counters
Transcribed Image Text:2. ABC Store operates with four check-out counters. The manager uses the following schedule to determine the number of counters in operation, depending on the number of customers in store: No. of customers in store 1 to 3 No. of counters in operation 1 4 to 6 2 7 to 8 3 More than 8 4 Suppose that the interarrival time at the checkout area is exponential with mean 5 minutes and that the checkout time per customer is also exponential with mean 10 minutes. Determine the following: (a) The steady-state probabilities, 7, for all j. (b) The probability that a fourth counter will be needed. (c) The average number of idle counters
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