Cashback Offer from 12th to 18th November 2021. Get Flat 10% Cashback credited to your account for a minimum transaction of $80. Post Your Question Today!

Question DetailsNormal
$ 24.00

IEOR 3106 Assignment #6 | Complete Solution

Question posted by
Online Tutor Profile
request

1) Alice and Betty enter a beauty parlor simultaneously, Alice to get a manicure and Betty toget a haircut. Suppose the time for a manicure (haircut) is exponentially distributed withmean 20 (30) minutes.

(a) What is the probability Alice gets done first?.

(b) What is the expected amount of time until Alice and Betty are both done?

 

2) Customers arrive at a shipping office at times of a Poisson process with rate 3 per hour. Theoffice was supposed to open at 8AM but the clerk Oscar overslept and came in at 10AM.

(a) What is the probability that no customers came in the two-hour period?

(b) What is the distribution of the amount of time Oscar has to wait until his first customerarrives?

 

 

4) The number of hours between successive trains is T which is uniformly distributed between 1and 2. Passengers arrive at the station according to a Poisson process with rate 24 per hour.Let X denote the number of people who get on a train. Find

(a) E[X]

(b) Var(X)

 

 

 

5) Customers arrive at a sporting goods store at rate 10 per hour. 60% of the customers are menand 40% are women. Women spend an amount of time shopping that is uniformly distributedon [0, 30] minutes, while men spend an exponentially distributed amount of time with mean30 minutes. Let M and N be the number of men and women in the store. What is thedistribution of (M, N) in the long run?

 

 

 

6) Signals are transmitted according to a Poisson process with rate λ. Each signal is successfullytransmitted with probability p and lost with probability 1?p. The fates of different signalsare independent. For t ≥ 0 let N1(t) be the number of signals successfully transmitted andlet N2(t) be the number that are lost up to time t.

(a) Find the distribution of (N1(t), N2(t)).

(b) What is the distribution of L = the number of signals lost before the first one is successfullytransmitted?

Available Answer
$ 24.00

[Solved] IEOR 3106 Assignment #6 | Complete Solution

  • This solution is not purchased yet.
  • Submitted On 31 Oct, 2015 04:57:50
Answer posted by
Online Tutor Profile
solution
This Tutorial is rated A+ p...
Buy now to view the complete solution
Other Similar Questions
User Profile
Exper...

IEOR 3106 Assignment #6 | Complete Solution

This Tutorial is rated A+ previously,if you have any questions regarding this tutorial then you can contact me....

The benefits of buying study notes from CourseMerit

homeworkhelptime
Assurance Of Timely Delivery
We value your patience, and to ensure you always receive your homework help within the promised time, our dedicated team of tutors begins their work as soon as the request arrives.
tutoring
Best Price In The Market
All the services that are available on our page cost only a nominal amount of money. In fact, the prices are lower than the industry standards. You can always expect value for money from us.
tutorsupport
Uninterrupted 24/7 Support
Our customer support wing remains online 24x7 to provide you seamless assistance. Also, when you post a query or a request here, you can expect an immediate response from our side.
closebutton

$ 629.35