Math_303_Section_201_April_2008

# Math_303_Section_201_April_2008 - Math 303 25 April 2008...

This preview shows pages 1–4. Sign up to view the full content.

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

View Full Document

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.

Unformatted text preview: Math 303. 25 April 2008. Final. MATH 303 – Sect 201 – 2007/2008 README • Fill this cover-page with your name and student number. • Prepare to produce your ID upon request. • Use the present sheets ONLY. Calculators, books, formula sheets and collaborations are NOT allowed. (In case of violation your work will be CONFISCATED). This exam has 6 problems (and some blank pages) Name: Number: P. 1: P. 2: P. 3: P. 4: P. 5: P. 6: Tot: 1 Math 303. 25 April 2008. Final. Problem 1 A Markov chain has space state { 1 , 2 , 3 , 4 , 5 , 6 } and transition matrix P = 3 / 4 1 / 4 2 / 5 1 / 5 2 / 5 2 / 3 1 / 3 2 / 7 5 / 7 1 1 a) Find the communicating classes. b) For each state of the chain, write, with a short explanation, if it is transient, null recurrent or positive recurrent. c) For each state of the chain, write, with a short explanation, the period. 2 Math 303. 25 April 2008. Final. Problem 2 Henry has three houses, one in Vancouver, one in Berlin and one in Prague, and he likes to spend some years in each of them. He may change place in the end of the year, and decides his destination according to the following rule:- if he has spent one year in Vancouver, for the next year he is equally likely to move to...
View Full Document

## This note was uploaded on 01/23/2011 for the course MATH 100,200,30 taught by Professor Dr.alejandrocortas during the Winter '10 term at UBC.

### Page1 / 10

Math_303_Section_201_April_2008 - Math 303 25 April 2008...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online