logo Use SA10RAM to get 10%* Discount.
Order Now logo

Ask This Question To Be Solved By Our ExpertsGet A+ Grade Solution Guaranteed

expert
Darryl HunterPsychology
(5/5)

764 Answers

Hire Me
expert
Saksham ChepruComputer science
(5/5)

656 Answers

Hire Me
expert
Wil AndersonEngineering
(5/5)

725 Answers

Hire Me
expert
Martin DoeStatistics
(3/5)

534 Answers

Hire Me
Probability
(5/5)

Assume we have a Poisson random process in which we expect 2.5 arrivals per second.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Question 1: Assume we have a Poisson random process in which we expect 2.5 arrivals per second. Generate 100,000 random numbers reflecting the number of random arrivals in one second. Plot the histogram and determine how closely the numbers match what you would expect.

Question 2: Assume we have a Poisson random process in which we expect 5 arrivals per hour. Generate 100,000 random numbers reflecting the number of random arrivals in one minute. Plot the histogram and determine how closely the numbers match what you would expect. Also plot the histogram of the time between arrivals. Does that match what you expect?

Question 3: Assume you have a prior belief that the value of lambda in a Poisson process is uniformly distributed between 5 and 10 arrivals per minute. You then observe the process and count 7 arrivals in the first minute and 9 in the second minute. Use Bayes theorem to determine the posterior distribution of values of lambda.

Question 4: Assume we have a random Poisson process where the arrival rate varies linearly from 1 to 10 arrivals per second over the course of three hours. Generate one random number for each of the 10,800 seconds in the three-hour period. How would you be able to tell from the random numbers alone if you were properly varying the arrival rate?

(5/5)
Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme

Get Free Quote!

354 Experts Online