ELEC 471: Homework Assignment 5

ELEC 471, Spring 2003
Prof. Rich Kozick

Homework 5

Date Assigned: Thursday, February 20, 2003
Date Due: Tuesday, March 4, 2003

Exam 1 will be on Tuesday, February 25, 2003. The topics for the exam will include Chapter 1 of the text and the digital communication application.
Reading: Please study Chapter 2, Sections 2.1-2.4.
Please solve the following problems in the text:
Chapter 2: 2.2.3, 2.2.4, 2.2.5 (draw a tree), 2.2.6, and 2.2.9 (in part d, n refers to the number of tries before generating a busy signal).
Presentations: You may recall from the course syllabus that each student will have the opportunity to deliver a presentation to the class. We will begin the presentations on March 4. I would like the following students to present their solution to Problem 2.2.9:
Ig An and Rich Carter
The students will present their solution as a group, so they should get together before class on March 4.
Develop a MATLAB simulation program for the salesperson model discussed in class. That is, you should simulate a large number of trials, and determine the probability of at least one successful sale in N sales calls, assuming that the calls are independent and that p is the probability of a successful sale on a call. Perform a simulation for the case of N = 10 calls and p = 0.2. Compare your simulation result with the analytical result, and please submit a printout of your MATLAB program.
Please answer the following questions using analysis, not simulation.
- Suppose that p is fixed at 0.2. What is the smallest value for N that will ensure that the probability of at least one success in N trials is greater than 0.95?
- Suppose that N is fixed at 10. What is the smallest value for p that will ensure that the probability of at least one success in N trials is greater than 0.95?
Explain your reasoning.
Please see Homework 6, which will be due on Thursday, March 6. You may want to begin the problems on Homework 6 before March 4.

Thank you.