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THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE 351K • Probability and Random Processes • Fall 2007 Assignment No. 5 Due Thursday, October 4, 2007 Please include the following information on the first page of each assignment: (1) Your name (printed legibly), (2) Course number EE 351K , (3) Assignment Number , and (4) Due Date . Thank you. 1. Consider two events A and B where 6 . 0 ) ( = B A P , 6 . 0 ) ( = A P , and 7 . 0 ) ( = B P . Determine the following probabilities: (a) ) | ( B B A P (b) ) | ( A B A P (c) ) | ( B A A P (d) ) | ( B A A P 2. Suppose three different types of ICs (denoted by X, Y,Z) are distributed in three indistinguishable boxes as follows Box 1 Box 2 Box 3 X 10 20 30 Y 15 25 35 Z 40 45 50 First a box is selected at random. Then an IC is selected at random from that box. (a) What is the probability that the IC selected is type Z from box 2? (b) If the IC selected is observed to be type X, what is the probability that it came from Box 3? 3. I.M.A. student wishes to estimate the probability of her arriving on time for her 8:00 a.m. class. She has analyzed the situation and finds the following critical factors. First, she recognizes that although her alarm clock works perfectly, she oversleeps 5% of the time and thus misses class. Next, on the basis of repeated observations she has observed that the shuttle bus is
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This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.

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