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Unformatted text preview: EE 351K PROBABILITY & RANDOM PROCESSES FALL 2011 Instructor: Sujay Sanghavi sanghavi@mail.utexas.edu Homework 8 Due: November 2nd, 4:00pm (dropping it to mailbox @ENS 431) Focus: Bayesian Inference (Section 8.18.5 in Textbook) Problem 1 Nefeli, a student in a probability class, takes a multiplechoice test with 10 questions and 3 choices per question. For each question. there are two equally likely possibilities, independent of other questions: either she knows the answer, in which case she answers the question correctly. or else she guesses the answer with probability of success 1/3. (a) Given that Nefeli answered correctly the first question, what is the probability that she knew the answer to that question? (b) Given that Nefeli answered correctly 6 out of the 10 questions, what is the posterior PMF of the number of questions of which she knew the answer? Problem 2 Suppose points in R are being obtained from two classes, C 1 and C 2 , both of which are normally distributed with parameters...
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This note was uploaded on 02/20/2012 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.
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