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2. Arrival times. Imagine you live in ancient times, before telephones. In each of the following,...
The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 12]. You observe the wait time for the next 100 trains to arrive. Assume wait times are independent
The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 12]. You observe the wait time for the next 100 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 100 wait times you observed is between 565 and 669? Part b) What is the approximate probability (to 2 decimal places) that the average of the...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a ga...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a ga...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a ga...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Ex. 10 Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interv
Ex. 10Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interval [5, 6].a. What is the joint pdf of X and Y?b. What is the probability that they both arrive between 5:15 and 5:45?c. If the first one to arrive will wait only 10 min before leaving...
Consider a simple queuing system in which customers arrive randomly such that the time between successive...
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...
Problem Six (Continuous Joint Random Variables) (A) Suppose Wayne invites his friend Liz to brunch at...
Problem Six (Continuous Joint Random Variables)
(A) Suppose Wayne invites his friend Liz to brunch at the Copley
Plaza. They are coming from separate locations and agree to meet in
the lobby between 11:30am and 12 noon. If they each arrive at
random times which are uniformly distributed in the interval, what
is the probability that the longest either one of them waits is 10
minutes?
Hint: Letting ? and ? be the time each of them arrives in
minutes...
Office Equipment, Inc. (OEI) leases automatic mailing machines to business customers in Fort Wayne, Indiana. The...
Office Equipment, Inc. (OEI) leases automatic mailing machines to business customers in Fort Wayne, Indiana. The company built its success on a reputation of providing timely maintenance and repair service. Each OEI service contract states that a service technician will arrive at a customer’s business site within an average of three hours from the time that the customer notifies OEI of an equipment problem. Currently, OEI has 10 customers with service contracts. One service technician is responsible for handling all...
Solve it for java Question Remember: You will need to read this assignment many times to...
Solve it for java
Question Remember: You will need to read this assignment many times to understand all the details of the you need to write. program Goal: The purp0se of this assignment is to write a Java program that models an elevator, where the elevator itself is a stack of people on the elevator and people wait in queues on each floor to get on the elevator. Scenario: A hospital in a block of old buildings has a nearly-antique...
The purpose of this assignment is to apply a waiting line model to a business service...
The purpose of this assignment is to apply a waiting line model to a business service operation in order to recommend the most efficient use of time and resources.(This assignment has been adapted from Case Problem 2 in Chapter 15 of the textbook.)Use the information in the scenario provided to prepare a managerial report for Office Equipment, Inc. (OEI). Scenario Office Equipment, Inc. (OEI) leases automatic mailing machines to business customers in Fort Wayne, Indiana. The company built its success...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Question 2 Individual customers arrive at a gas station randomly. The time of each arrival Tn has the following probability density function: fTa (t) There are c pumps. The time it takes to fill a gas tank at a particular pump is exponentially distributed with mean џ. Pumping times are independent Find the stationary distribution of the number of customers at the gas station (waiting for a pump, or pumping). Assume λ. Simplify the result as much as possible (no...
Problem Six (Continuous Joint Random Variables)
(A) Suppose Wayne invites his friend Liz to brunch at the Copley
Plaza. They are coming from separate locations and agree to meet in
the lobby between 11:30am and 12 noon. If they each arrive at
random times which are uniformly distributed in the interval, what
is the probability that the longest either one of them waits is 10
minutes?
Hint: Letting ? and ? be the time each of them arrives in
minutes...
Solve it for java
Question Remember: You will need to read this assignment many times to understand all the details of the you need to write. program Goal: The purp0se of this assignment is to write a Java program that models an elevator, where the elevator itself is a stack of people on the elevator and people wait in queues on each floor to get on the elevator. Scenario: A hospital in a block of old buildings has a nearly-antique...
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