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homework1

# homework1 - MAT 2342 Assignment 1 Fall 2009 Due 5pm October...

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MAT 2342 Assignment 1 Fall 2009 Due: 5pm, October 4, 2009 Instructor: Pieter Hofstra INSTRUCTIONS: 1. For all of the questions you have to clearly show how you arrived at your answer. 2. Write legibly and use non-red ink. 3. Write your name and student number on the first page of your assignment.

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Problem 1. In a big city with a population of 1 million people, there are three telephone companies A, B and C, providing phone services to citizens. To determine how loyal customers are to their phone company, a survey has been conducted. The results of the survey are as follows: 80% of the customers who have a contract with company A stay with company A the next year; 10% switch to company B and 10% switch to company C. Similarly, 80% of the customers who have a contract with company B stay with com- pany B the next year; 10% switch to company A and 10% switch to company C. 60% of the customers who have a contract with company C stay with company C the next year; 20% switch to company A and 20% switch to company B.
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