Question

A small grocery store has only one checked out counter.customers arrive at this checkout counter at...

A small grocery store has only one checked out counter.customers arrive at this checkout counter at random from 1 to 8 minutes apart.each possible value of inter arrival time has the same probablity of occurence.the services time vary from 1 to 6 minutes with certain probablity of occurences.to estimate the problem for 20 customers,describe the components to estimate the server utilization.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers...
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 15 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 25 customers per hour. The manager’s service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of...
In a grocery store, there is one cashier counter. Customers arrive at the cashier counter according...
In a grocery store, there is one cashier counter. Customers arrive at the cashier counter according to a Poisson process. The arrival rate is 30 customers per hour. The service time is exponentially distributed. The mean service time is 1 minute 30 seconds. 1. What is the expected number of customers waiting in the system. 2. What is the expected waiting time.( unit in minutes) 3. What is the utilization rate (unit in %) of the cashier?
Customers arrive to the checkout counter of a convenience store according to a Poisson process at...
Customers arrive to the checkout counter of a convenience store according to a Poisson process at a rate of two per minute. Find the mean, variance, and the probability density function of the waiting time between the opening of the counter and the following events: A) What is the probability that the third customer arrives within 6 minutes? You can use a computer if you’d like but you need to write down the integral with all of the numbers plugged...
Suppose that the checkout time at a grocery store is an exponential random variable with mean...
Suppose that the checkout time at a grocery store is an exponential random variable with mean 3 minutes. Estimate the probability that a cheker will serve more than 82 customers during a 5 hour shift
A customer plans to checkout at a grocery store but finds all 5 cashiers busy serving...
A customer plans to checkout at a grocery store but finds all 5 cashiers busy serving other customers. There are no other customers when this person arrives, and they will be served as soon as someone finishes. All customer arrival and service times are independent and exponentially distributed. a) What is the probability that this customer will not be the last customer to depart? b) If the average service time per cashier is 4 minutes, what is the average time...
A customer plans to checkout at a grocery store but finds all 5 cashiers busy serving...
A customer plans to checkout at a grocery store but finds all 5 cashiers busy serving other customers. There are no other customers when this person arrives, and they will be served as soon as someone finishes. All customer arrival and service times are independent and exponentially distributed. a) What is the probability that this customer will not be the last customer to depart? b) If the average service time per cashier is 4 minutes, what is the average time...
1. Suppose that the checkout time at a grocery store is an exponential random variable with...
1. Suppose that the checkout time at a grocery store is an exponential random variable with mean 2 minutes. Estimate the probability that a cheker will serve more than 223 customers during an 8 hour shift. 2. Suppose that we roll a die 205 times. What is the approximate probability that the sum of the numbers obtained is between 691 and 746, inclusive.
Dan's Store has installed a self-service checkout counter, and wishes to understand how this has affected...
Dan's Store has installed a self-service checkout counter, and wishes to understand how this has affected customer service. Shoppers arrive on average the rate of one every other minute (Poisson distribution). Each shopper takes an average of 82 seconds to use the checkout, and that time is exponentially distributed. a. Calculate how long it takes, on average, for a shopper at the self-service counter, including how long they wait in line and how long it takes them to do their...
*please use excel and provide the formulas Customers arrive randomly at a product returns counter at...
*please use excel and provide the formulas Customers arrive randomly at a product returns counter at a department store, which meets the assumptions of the Single-Server, Single-Phase waiting line model (i.e., the arrival rate is Poisson distributed and service rate is exponentially distributed). There is only one returns employee, and the time required for returns varies from customer to customer. There is a single waiting line. The average arrival rate is 15 customers per hour. The average time to serve...
The manager of a grocery store has taken a random sample of 196 customers.
The manager of a grocery store has taken a random sample of 196 customers. The average length of time it took these 196 customers to check out was 3 minutes. It is known that the standard deviation of the population of checkout times is 1 minute. The margin of error is 0.140. Find the 95% confidence interval for the true average checkout time (in minutes).A. 1 to 5B. 2.86 to 3.14    C. 2.883 to 3.117D. 2.990 to 3.010