ELEC 471, Spring 2003
Prof. Rich Kozick

## Homework 7

Date Assigned: Tuesday, March 18, 2003
Date Due: Tuesday, March 25, 2003

1. Reading: Continue studying Chapter 2, sections 2.1 through 2.7.

2. Exam 2 was scheduled for Tuesday, April 1, according to the syllabus. We agreed to move the exam to Thursday, April 3, so that we can finish Chapter 2 and have a review on April 1. Therefore Exam 2 will include the topics in Chapter 2.

3. Please solve the following problems in the text for Tuesday, March 25:
Section 2.4: 1, 3.
Section 2.5: 2, 3, 5, 6 (refer to Appendix A, rather than deriving from scratch), and 9.
The problems for Homework 8 are posted on the web site, in case you want to work ahead.

4. Poisson PMF: Suppose small aircraft arrive at a certain airport according to a Poisson "process", with a rate of 8 aircraft per hour. Therefore during a one hour time interval, the number of arriving aircraft is a Poisson random variable with parameter alpha = 8.
• What is the probability that exactly 5 aircraft arrive during a one hour interval?
• What is the probability that at least one aircraft arrives during a one hour interval?

5. Extra credit (or "make-up" if you missed any previous MATLAB assignments, or just for fun):

Develop a MATLAB simulation of the game described in Problem 2.5.9. Compare your simulation results with the analytical PMF PY(y) and expected value E[Y].

6. Presentations: The following students are asked to present their solution on March 25 to the indicated problem. Each pair of students will present their solution together.
Problem 2.5.9: Mark Colgan and Warren Mabey
Thank you.