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

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

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

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