EE302%20hw3_fa06

EE302%20hw3_fa06 - EE302 Homework #3 Assigned 9/25/06, Due...

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i iij i ±∞ ±∞ ² ±| | ² ±∞ ±∞ ±² ³ R ´ ´ ´ ´ ´ ´ RR EE302 Homework #3 3 +1 1 2 ± 1 2 :( )= :() =1 2 X Xi x i X x Y Y ± X Yj xgx y Y d dy xgx y X Y n i dx dy i YX = ( ) = 2exp( 2 ) 0 =0 2 ()= 1 2 =01 2 =() () E [] V a r [] ± 02 0 ± =sin± E []V a r ( )= ( ) ( =() = 1 = ( ) () = () () E [+ ] = E []+ Var[ + ] = Var[ ] Var[ ] = 0 = 0 Y X . X fx x , < x <. , Y, Y X. X p x , x , ,. .., , YY X . Yg X e, < x < fy < ± , , else. XX . X, X XY g X . p y p x . g X . f y f x d x g X . f y f x y g x ,i ,. ..,n. X Y g X . yf y dy g x f x dx Xa b a X b a X b b a X b a X X . Assigned 9/25/06, Due 10/2/06 (by 4:30 in dropbox in MSEE 330) 1. A random variable is related to a random variable by (a) Suppose is a continuous random variable with pdf else Find the pdf of and the probability that is greater than (b) Suppose is a discrete random variable with pmf else. Find the pmf of and the probability that is greater than 2. Consider the limiter shown in Figure P3.3 on p. 180 of the text. Assume that (a) Find using the density method (b) Find using the distribution method (c) Find and 3. A random variable has probability density function of the form Another random variable is related to by
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This note was uploaded on 09/03/2009 for the course ECE 302 taught by Professor Gelfand during the Fall '08 term at Purdue.

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