This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 4. Suppose that a voltage X is a zeromean Gaussian random variable. Find the pdf of the power dissipated by an Rohm resistor P = X 2 /R. 5. Let X be uniform on [1,1]. Find g( x ) such that, if Y=g(X), then f Y ( y ) = 2e2 y u( y ). 6. Let Y = e X . a. Find the cdf and pdf of Y in terms of the cdf and pdf of X. b. Find the pdf of Y when X is a Gaussian random variable. 7. Find the mean and variance of the binomial random variable. 8. Show that E[X] for the random variable with cdf 1 1/ 1 ( ) 1 X x x F x x≥ & = ± < ² does not exist. 9. Let Y = Acos( & t )+c, where A is a random variable with mean m and variance ± 2 , and & and c are constants. Find the mean and variance of Y. 10. Let g(X) = ba X , where a and b are positive constants and X is a Poisson random variable. Find E[g(X)]....
View
Full
Document
This note was uploaded on 10/12/2011 for the course ECE 600 taught by Professor Staff during the Spring '08 term at Purdue.
 Spring '08
 Staff

Click to edit the document details