# hw3 - UCSD ECE 153 Prof. Young-Han Kim Handout #9 Thursday,...

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UCSD ECE 153 Handout #9 Prof. Young-Han Kim Thursday, October 16, 2008 Homework Set #3 Due: Thursday, October 24, 2008 1. Read Sections 6.5.1, 8.6.1–8.6.2 in the text. Try to work on all examples. 2. Coin with random bias. You are given a coin but are not told what its bias (probability of heads) is. You are told instead that the bias is the outcome of a random variable P Unif[0 , 1]. To get more information about the coin bias, you ﬂip it independently 10 times. Let X be the number of heads you get. Thus X B(10 , P ). Assuming that X = 9, ﬁnd and sketch the a posteriori probability of P , i.e., f P | X ( p | 9). 3. Signal or no signal (from Spring 2008 midterm). Consider a communication system that is operated only from time to time. When the communication system is in the “normal” mode (denoted by M = 1), it transmits a random signal S = X with X = ( +1 , with probability 1 / 2 , - 1 , with probability 1 / 2 . When the system is in the “idle” mode (denoted by

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## This note was uploaded on 10/26/2011 for the course MATH 180C taught by Professor Eggers during the Winter '09 term at Aarhus Universitet.

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hw3 - UCSD ECE 153 Prof. Young-Han Kim Handout #9 Thursday,...

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