exam1_eel5544

# exam1_eel5544 - EEL 5544 Midterm Examination Number 1...

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EEL 5544 Midterm Examination Number 1 October 8, 2009 The time for this test is 2 hours. This is a closed book test, but you are allowed one formula sheet. The formula sheet cannot contain any examples. You should write your name on the formula sheet and turn it in with your exam. You may use a calculator on this test. You must show your work to receive credit for a problem. Note that some problems are worth more points than other problems, and the problems are not necessarily sorted in order of difﬁculty or point value. You must sign the honor statement at the end of the test in order to receive any credit. Exam I-1
Exam I-2 1. (18 points) Let ( S, F ,P ) be a probability space. Suppose A , B , and C are events (i.e., are members of F ) with non-zero probability. Consider the following equations. If the equation is true for all A , B , and C , write “TRUE”. If the equation is not true for any A , B , C , write “FALSE”. If the equation is true given some restrictions on A , B , and C , then specify the restrictions. You do not have to prove your answer. (a) P ( A B ) = P ( A ) + P ( B ) (b) P ( A B ) = P ( A ) P ( B ) (c) P ( A B ) = P ( A ) + P ( B ) - P ( A B )

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Exam I-3 (d) P ( A | B ) = P ( A B ) P ( B ) (e) P ( B | A ) = P ( B ) (f) P ( B | A ) = 1
Exam I-4 2. (24 points) Suppose there are 100 students in a class. Part I.

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## This note was uploaded on 04/08/2012 for the course EEL 5544 taught by Professor Wong during the Fall '08 term at University of Florida.

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exam1_eel5544 - EEL 5544 Midterm Examination Number 1...

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