{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ps10 - University of Illinois Spring 2010 ECE 313 Problem...

This preview shows pages 1–2. Sign up to view the full content.

University of Illinois Spring 2010 ECE 313: Problem Set 10 Due: Wednesday, April 7 at 4 p.m. Reading: Ross, Chapter 5; Lecture Notes 26-28. Noncredit Exercises: DO NOT turn these in. Chapter 5: Problems 11,15 and 31; Theoretical Exercises 18,30. This Problem Set contains seven problems. 1. [Moments of random variables] Theoretical Exercises, Chapter 5 of the textbook, Problem 5.5. 2. [Gaussian Random Variables] Let X be a Gaussian random variable with mean μ = - 1 and variance σ 2 = 4. (a) Find the mean and variance of 2 X + 5. Let Φ( x ) denote the CDF of a standard Gaussian random variable, and let Q ( x ) = 1 - Φ( x ). Suppose that Calculator A can evaluate only Φ( x ) and only for nonnegative values of x . On the other hand, suppose that Calculator B can evaluate only Q ( x ), again only for x 0. Both calculators can perform standard functions, like addition and multiplication. For each of the probabilities in parts ( b ) through ( e ), write down two alternative expressions: one for evaluation using Calculator A, and the other for

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.

{[ snackBarMessage ]}

### Page1 / 2

ps10 - University of Illinois Spring 2010 ECE 313 Problem...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online