464 Midterm1 NonDEN

464 Midterm1 NonDEN - EE 464 Midterm Exam Oct 15 2009...

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EE 464 Midterm Exam Oct. 15, 2009 3:30pm - 4:50pm Name: ID Number: Remote Location(Den students): Instructions: This is a close book exam. You are not allowed to use books, notes and computers, but allowed to bring in 1 crib sheet and calculators. Write your name, remote location and ID number in the space provided before start. The maximum score is 100 points. Prob. Max. Score Your Score 1 55 2 25 3 25 4 25 5 30 total 160 1
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Problem 1. 1.1) ( 15 points) Let F X ( x ) ,F Y ( y ) be probability distribution functions of random variables X and Y , respectively. Write down the probability distribution functions of ˜ X 1 = max { X,Y } and ˜ X 2 = min { X,Y } . 2
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X 1 , ··· X n be n i.i.d. random vari- ables with identical probability distributions F ( x ). Rearrange the n random random variables in non-increasing order as ˜ X 1 ˜ X 2 ≥ ··· ≥ ˜ X n . Write down the distribution functions of ˜ X k for every k : 1 k n by assuming that the density function f ( x ) exists. 3
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This note was uploaded on 09/04/2010 for the course EE 464 taught by Professor Caire during the Fall '06 term at USC.

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464 Midterm1 NonDEN - EE 464 Midterm Exam Oct 15 2009...

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