# exam1 - EEL 5544 Midterm Examination Number 1 September 29,...

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EEL 5544 Midterm Examination Number 1 September 29, 2011 The time for this test is 2 hours and 10 minutes. 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. Potentially useful information: For a Gaussian random variable with mean μ and variance σ 2 , f X ( x ) = 1 2 πσ 2 exp ± - ( x - μ ) 2 2 σ 2 ² Geometric summation: i = 0 p i = 1 1 - p , 0 < p < 1 Exam I-2
Exam I-3 1. (18 points) A group of students has 2 Apple laptops, 7 Windows laptops, 6 Apple desktops, and 9 Windows desktops. A computer is selected at random. Let A , W , L , and D denote the events that the computer is an Apple computer, a Windows computer, a laptop computer, or a desktop computer, respectively. (a) Find P ( A ) (b) Find P ( D ) (c) Find P ( A D )

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(d) Are A and W statistically independent? Write YES or NO. Justify your answer. (e) Is it possible to adjust the number of Windows desktops to make A and W statistically independent? Write YES or NO. If your answer is YES, ﬁnd the number of Windows desktops that makes A and W s.i. (f) Are A and W mutually exclusive? Write YES or NO. Justify your answer. (g) Are
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## This note was uploaded on 01/29/2012 for the course ECE 101 taught by Professor Wang during the Spring '11 term at Iowa State.

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exam1 - EEL 5544 Midterm Examination Number 1 September 29,...

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