At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. Assuming an M/M/1 setup; What is the average no. of fans in the circuit ticketing system? ii). What is the average no. of fans awaiting service? iii). On average, how long does a fan have to wait for service? iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit service personnel. Be clear to elaborate your response. Determine the total number of tickets that were purchased via the e-commerce portal.
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At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts
as the Formula 1 drivers battled for maximum points in the series.
The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm,
when the gates closed in readiness for the race. The fans were observed to arrive at an average of
2,048 each hour, and were being served at a rate of 533 every fourteen minutes.
Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce
portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this
grace.
Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month.
Assuming an M/M/1 setup;
What is the average no. of fans in the circuit ticketing system?
ii). What is the average no. of fans awaiting service?
iii). On average, how long does a fan have to wait for service?
iv). On average, how long does a fan spend in the circuit ticketing system?
v). What is the probability of having more than 5 but less than 12 fans in the circuit
ticketing system?
Determine the efficiency of the Silverstone circuit service personnel. Be clear to elaborate
your response.
Determine the total number of tickets that were purchased via the e-commerce portal.
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