# hw6 - IEOR 161 University of California, Berkeley Spring...

This preview shows pages 1–2. Sign up to view the full content.

IEOR 161 University of California, Berkeley Spring 2010 Homework 6 Due date: March 18 (in discussion session), 2010. The following are taken from “Introduction to Probability Models” by Sheldon Ross ( 9th Edi- tion ). 1. 5.48, 5.53, 5.55, 5.66. 2. This question asks you to explore the results concerning thinning of a Poisson process using simulation. The ﬁrst part deals with “classical” results on thinning that were covered in class. The second part is perhaps a little more realistic. Hopefully you will ﬁnd it interesting to see how adding some realism into the model changes the results. Suppose that arrivals occur as a Poisson process with rate λ = 2 and that an arrival is classiﬁed “Type 1” with probability p = 0 . 5 and type 2 otherwise. Use a time horizon of T = 10. Simulate this system and plot the empirical probability mass function of the following: (a) the number of type 1 arrivals N 1 ( T ) (b) the number of type 2 arrivals N 2 ( T ), conditional on N 1 ( T ) = 6

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/17/2011 for the course IEOR 161 taught by Professor Lim during the Spring '08 term at Berkeley.

### Page1 / 2

hw6 - IEOR 161 University of California, Berkeley Spring...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online