hw2_new - EE 351K Probability Statistics and Random...

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Unformatted text preview: EE 351K Probability, Statistics, and Random Processes SPRING 2009 Instructor: Shakkottai/Vishwanath {shakkott,[email protected] Homework 2 Due on Wednesday, February 11 in class Problem 1 A new test has been developed to determine whether a given student is overstressed. This test is 80% accurate if the student is not overstressed, but only 70% accurate if the student is overstressed. It is known that 50% of all students are over-stressed. Given that a particular student tests negative for stress, what is the probability that the test result is correct? Problem 2 A parking lot consists of a single row containing n parking spaces ( n ≥ 2) . Mary arrives when all spaces are free. Tom is the next person to arrive. Each person makes an equally likely choice among all available spaces at the time of arrival. Describe the sample space. Obtain P ( A ) , the probability the parking spaces selected by Mary and Tom are at most 1 space apart. Problem 3 (a) Let A and B be events such that A ⊂ B .Can A and B be independent? (b) We are told that events A and B are independent. In addition,events A and C are independent. Is it true that A is independent of B ∪...
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This note was uploaded on 02/10/2009 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas.

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hw2_new - EE 351K Probability Statistics and Random...

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