Random Processes in Engineering EE department‚ USC‚ Fall 2014 Instructor: Prof. Salman Avestimehr Homework 1 Solutions 1. (Axioms of Probability) Prove the union bound: n P [∪n Ak ] ≤ k=1 P [Aj ]. j=1 The union bound is useful because it does not require that the events Aj be independent or disjoint. Problem 1 Solution We prove this part by induction‚ for k = 2 we have P (A1 ∪ A2 ) = P (A1 ) + P (A2 ) − P (A1 ∩ A2 ) ≤ P (A1 ) + P (A2 ) (1) Now‚ assume that the statement
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most beautiful music in the world is your own heart beat! It gives an assurance that u wil survive even when the world leaves u alone! Hamara tazkra choro hum aise log hain jin ko......! Nafraten kuch nhe kehteen‚ wafaen mar jati hain .... Aj us ne meri muhabbat me ksi ko shareek kia to ehsas hua! ’YA RAB’ k Tu shirk krne walon ko maaf q nhe krta! A snake has poison in its teeth A dog has in its tongue A scorpio has in its tail but it’s only human who hv poison in its HeaRt
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parallel to the diameters or axes. step1ActionGiven the major and minor axes or the conjugate diameters AB andCD‚ draw a rectangle or parallelogram . Make sure all sides are parallel to their respective sides. 2Divide the distance between AO and AJ into the same number ofequal parts. 3Starting at the ends of the minor axis CD‚ lightly draw straight linesthrough each point. The lines intersect forming the circumferenceof the ellipse. 4Lightly sketch the outline of the ellipse. Darken the outline
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Introduction In Sprod bnf v Public Relations Oriented Security Pty Limited ‚ the court was concerning about whether the Security company was vicariously liable for the violent conduct of its employees. The case analysis is to examine the approach to the decision of the court and indicate further developments as well as commercial implications. Relevant Facts The appellant‚ Mr Sproud was assaulted by two security guards who were employees of the respondent‚ Public Relations Oriented Security
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has actually resulted in several murmurs that her partnership has actually provided her an aiding hand in her WWE occupation. A two-time WWE Divas Champion‚ her 2nd power of 301 days is identified as the lengthiest in the belt’s background‚ defeating AJ Lee’s previous 295-day document. While some followers have actually guessed regarding Nikki’s links obviously assisting her occupation‚ it had not been till she challenged with Carmella on SmackDown Live recently that such complaints were made in a
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AJ McNutt HST 225 Dr. Olumwullah 23 January 2013 Take Home Assignment #1 From the beginning of Africa’s history the development of its historical geography has had a very intense and interesting past. Deep in its history in the contemporary countries such as Egypt‚ Congo and many others there began a significant influence of the iron‚ copper and cereal growing movements that flooded the continent throughout. The Iron Age expanded across southern Africa causing intermixture with existing people
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Every 16 December‚ the anniversary of Alpha Phi Omega fraternity‚ they hold oblation runs. I don’t want to put links here‚ so you better go ahead and discover what oblation run is about. Please search at your own risk. The Next Step by Alvin John ~AJ~ After spending around 7 months of my life without education‚ here i am moving from secondary school life to college life. Honestly‚ I’m still not used to college life. I really miss my crazy buddies from my hometown and all the fun-filled adventures
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them being life. The stories Harrison Bergeron‚ Shades‚ and Examination Day‚ are all ones that have a common theme of the denial of life. A dystopian society denies individual rights such as life‚ liberty‚ and the pursuit of happiness. In Shades‚ by AJ Said‚ the Government hides colors‚ in order to prevent people from fighting over skin colors‚ but if anyone finds out‚ they are killed. After Jake had broken his contacts that stopped colors‚ he was killed when he discovered that the government hadn’t
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References: Ayers‚ R. M.‚ & Collinge‚ R.M. (2004). Policy towards trade. Explore and Apply‚ 28 pg 657-660. Person Prentice-Hall. Begg‚ D.‚ Fischer‚ S.‚ Dorbusch‚ R. (1997) a. Economics and the economy: Examples of economic issues. Economics (Fifth Edition)‚ 1 pg1-2
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Concept Proposal Report MARK2313-2010-Y Brand Management Tutor: Lynn Stainsby Student name: Xuefang Geng Student ID number: P09011557 Submission date: 16 March‚ 2010 Contents Introduction 2 1. Product description 3 2. Brand Equity Analysis 3 2.1 Brand name 3 2.2 Brand image 4 2.3 Brand awareness & Brand-added value 5 2.4 Image Transfer 5 3. Marketing Plan 6 3.1 Market Gap and Competitors’ Performance 6 3.2 Market segmentation‚ positioning
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