# ps03 - University of Illinois Spring 2010 ECE 313 Problem...

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University of Illinois Spring 2010 ECE 313: Problem Set 3 Discrete Random Variables: pmf, expectation, LOTUS, and variance Due: Wednesday February 10 at 4 p.m. Reading: Ross, Chapter 3.4 and 4 Noncredit Exercises: DO NOT turn these in. Chapter 4: Problems 2, 7, 13, 28, 35, 39, 40-43 Theoretical Exercises 11, 13, 15; Self-Test Problems 1-10. 1. [ Cumulative distribution function ] Page 174, #4.19 2. [ Binomial random variable ] Page 176, #4.43 3. [ Flying used to be fun ] Air Illini overbooks flights to reduce losses due to passengers not showing up for a flight. Suppose that 95 passengers have reservations for a flight with only 92 seats. Passengers make up their minds independently about showing up for the flight. The probability that each passenger will not show up is 0.04. Find the probability that there will be seats available for all passengers who show up. 4. [ Keep the communication channel open ] How many independent microwave links are needed to ensure communication between B and E for at least 99% of the time? 5. [

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## This note was uploaded on 10/25/2010 for the course ECE 313 taught by Professor Milenkovic,o during the Spring '08 term at University of Illinois, Urbana Champaign.

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ps03 - University of Illinois Spring 2010 ECE 313 Problem...

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