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Question 3 of 20 1.0 Points On average we expect 1 customer to arrive every 2...
For questions 1-3 Customers arrive at the Cox Store at an average of one every 15...
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 =...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival...
The number of customers arriving at a local business every 15 minutes is 3. Supposing the arrival of customers follows a Poisson distribution, answer the following questions: What is the probability that exactly 5 people arrive in the next 15 minutes? What is the probability that at least 4 people arrive in the next 15 minutes? Probability that between 2 and 6 people arrive inclusive? Expected number to arrive in the next hour? Expected number to arrive in an 8 hour...
Customers arrive at Lisa’s Hair Salon during a day in any particular business hour according to...
Customers arrive at Lisa’s Hair Salon during a day in any particular business hour according to a Poisson distribution with a rate of ? = 3 per hour. Now the salon has two barbers who can each service a customer in exactly 30 minutes. Suppose a customer, Amy, arrives at 2:00pm and finds both barbers idle. (a) What is the probability that we will observe customers waiting before 2:30pm? (b) What is the probability that Amy observes the next customer...
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...
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...
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
Customers arrive at a store randomly, following a Poisson distribution at an average rate of 20 per hour. What is the probability of exactly 3 arrivals in a 12 minute period?
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7 customers every 5 minutes. assume a poisson distribution to find the probability that: A) exactly 12 customers arrive in a given 10 minute interval (perform this calculation using an appropriate formula, showing the setup.) b) between 5 and 10 customers (inclusive) arrive in a given 5 minute interval (show how you can answer this from the table) c) after a customer arrives, find the...
A new salon with a single barber operates near MIT. The salon provides two kinds of...
A new salon with a single barber operates near MIT. The salon provides two kinds of services: Quick Barbering (QB) which takes exactly 9 minutes and Normal Barbering (NB) which takes exactly 15 minutes. On average, the customers who request QB service arrive at a rate of 1 per hour, and the customers who request NB service arrive at a rate of 2 per hour. The two arrival streams follow independent Poisson processes. Because the two arrival streams are independent,...
customers arrive at an average of 30 per hour. A single server in the store serves...
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...
Sharp Discount Wholesale Club II - How much time does the average customer spend in their...
Sharp Discount Wholesale Club II - How much time does the average customer spend in their queue? Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive according to a Poisson distribution at each entrance at an average of one every 7.5 minutes. Without exception, when customers finish shopping, they checkout at the service desk near the entrance where they entered the store. The negative exponentially distributed service time is 6 minutes per...
On average, 2 customers go to the customer service desk at SAVE ON FOODS and asks,...
On average, 2 customers go to the customer service desk at SAVE ON FOODS and asks, "Do you have any toilet paper left?" during any 15 minute interval. In any given hour, what is the probability the Customer Service Desk gets exactly 5 requests for toilet paper? 0.0653 0.0361 0.0916 0.1333
On average, 2 customers go to the customer service desk at SAVE ON FOODS and asks, "Do you have any toilet paper left?" during any 15 minute interval. In any given hour, what is the probability the Customer Service Desk gets exactly 5 requests for toilet paper? 0.0653 0.0361 0.0916 0.1333
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