final03

# final03 - EEE350 Final Exam Spring 2003 Examination Date...

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EEE350: Final Exam Spring 2003 Examination Date: May 14th Examination Time: 7:40–9:30am Student Name: Student ID: 1. This exam consists of six problems (Problem 6 is a bonus problem). You need to provide the necessary details in order to get credits. 2. Three-page crib sheets are allowed. 3. The standard Gaussian CDF is provided.

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1. (20’) Suppose X and Y are independent Gaussian random variables, with X N (0 , 1) and Y N (1 , 4). (a) (4’) Find the probability P ( X 2 4). (b) (8’) Let W = X - 2 Y . Find the probability P ( - 2 - 3 W ≤ - 2 + 3). 1
(c) (8’) Deﬁne Z = X 2 , and ﬁnd the probability density function (PDF) of Z . 2. (20 points) In a communication system, information bits are transmitted from source to destination. However, due to the ambient white Gaussian noise in the communication channel, an information bit may be received erroneously by the time it arrives at the destination. Assume that the information bits are transmitted independently, and let

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## This note was uploaded on 02/11/2012 for the course EEE 352 taught by Professor Ferry during the Spring '08 term at ASU.

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final03 - EEE350 Final Exam Spring 2003 Examination Date...

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