An airline company has 4 phone lines. If the time between calls averages 3 minutes. Use Table 17A.1. Round your answer to four decimal places. What is the probability that all lines are busy if an average call lasts 6 minutes? 1.5000
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- 3.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the probability at least one of the servers is busy? Give your answer as a decimal and take it to three decimal places.A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.Hello! for this question kinldy answer all the question and you have the right to debit me up to 3 questions At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sortsas 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 of2,048 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-commerceportal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for thisgrace.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…
- A restaurant considers changing the number of waiters during dinner hours. There are currently seven waiters. It takes 70 minutes to serve a table on average. A new party (table) comes to the restaurant every 12.28 minutes. The restaurant considers decreasing the number of waiters by 1, down to 6. How much would the probability of walking into a completely busy restaurant increase when the number of waiters is 6 compared to 7? I need typed answer don't write in a paperComputer Science Measurement span for SLO. For example, we might evaluate our uptime performance by measuring the availability of service over a span of 1 year, 1 month, or 1 week. What are the tradeoffs (pros, cons) of the different choices we might make here? Explain your reasoning.In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
- In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)?1. A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? A. 2 B. 3 C. 1 D. 4