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Customers arrive at a carwash on average once every 10 minutes. It seems likely that customer...
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 5 minutes? b) What is the probability that the next customer will arrive in more than 8 minutes? c) What is the probability that the next customer will...
A shop has an average of five customers per hour 5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...
For questions 1-3 Customers arrive at the Cox Store at an average of one every 15 minutes and their requests take on average 10 minutes to be processed. The service counter is staffed by only one Cox representative, Mark, who works from 9AM to 5PM every day. Assume Poisson arrivals and exponential service times. 1. What are the arrival and service rates that should be used for this problem? A. λ = 4 customers/hour μ = 6 customers/hour B. λ =...
Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 5 haircuts per hour. customers (round your response to two decimal places). a) The average number of customers waiting for haircuts = customers (round your response to two decimal places). b) The average number of customers in the shop = c) The average time a customer waits...
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...
During the 3 pm to 5 pm time period, cars arrive at a bank's drive-through window at an average rate of 15 customers per hour. Assume that the time between arrivals follows the exponential distribution. What is the average time between customer arrivals? A. 30 minutes B. 15 minutes C. 4 minutes D. 10 minutes
I got e^(-5/4) for (a) and (b), but I do not know how to do (c). Thank you! 5. A shop has an average of five customers per hour. (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y be exponential random variables míodeling the tine between the ith and 1st customers' What is...
1. The manager of a self-service carwash station found that customers take an average of 8 minutes to wash and dry their cars. Assuming that the self-service times can be modelled by exponential distribution, compute the probability that a customer will require more than 11 minutes to complete the job.
customers arrive at an average of 30 per hour. A single server in the store serves customers, taking 1.5 minutes on average to serve each customer. Inter-arrival times and service times follow the exponential distribution. What is the expected fraction of time that the server will be busy? On average, how many people will there be in the store? On average, how long will someone be in the store? What is the probability that there will be more than 2...
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Use the Q.xls calculator to answer the following questions. What percentage of time is Judy idle? How long is the (waiting) line, on average (Lq)? How much time, on average,...