A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
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A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 20 minutes. a. What is the probability that the arrival time between customers will be 6 minutes or less? b. What is the probability that the arrival time between customers will be between 4 and 8 minutes?
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...
At a local bakery, on average, 12 customers come in per hour. Using the exponential distribution, find the probability that the intervals between successive arrivals will be more than 15 minutes.
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
Customers are serviced at a rate of six customers per hour according to an exponential distribution. What is the probability that customer service will require fewer than 20 minutes? A. Greater than 0.70 but less than or equal to 0.80 B. Greater than 0.90 C. Less than or equal to 0.70 D. Greater than 0.80 but less than or equal to 0.90. Please show all work
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...
The Department of Motor Vehicles (DMV) can service customers at a rate of 20 per hour when it comes to license renewals. The service time follows an exponential distribution. What is the expected value and standard deviation? A.) 3, 0.33 B.) 1/3, 0.33 C.) 20, 0.11 D.) 1/3, 0.11
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4 minutes per customer. Service time has a negative exponential distribution. Customers arrive in their cars at a rate (Poisson distributed) of 12 per hour and form a single waiting line: a. Determine the average waiting time, the average queue length, and the probability that there is no customer in the system. b. If Canara Bank decides to open a second drive-thru teller window with...
In a benchmark study, a fast food restaurant had an average service time of 2.6 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute? (b) What is the probability that a service time is between 15 seconds and one minute? (c) Suppose the manager of the restaurant is considering instituting...