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Tes Te Tes

In: Computers and Technology

Submitted By shinodhaz
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ANSWER ALL QUESTIONS

Question 1 [10 marks]

a) Your instructor gives the class a surprise four-question with 3-choice quiz. You have not studied the material being quizzed and therefore decide to answer the four questions by randomly guessing the answers without reading the questions or the answers. i) what is the probability that you will have more than half of the answers correct? [3 marks] ii) What do you think the class “average” number of correct answers will be, if an entire class answers the quiz by guessing ? [2 marks] b) The incomes of senior executive in a large corporation are normally distributed with a standard deviation of RM 1200. A cutback is pending, at which time those who earn less RM 28,000 will be discharged. If such a cut represents 5% of the junior executives, what is the current mean salary of the group of senior executives? [5 marks]

Question 2 [30 marks]

a) In a test of Shettles method to increase the probability of conceiving a boy. Among 574 women using that method, 525 had baby boys. Assuming that the method has no effect so that boys and girls are equally likely, find the probability of getting at least 525 boys among 574 babies. Justify the types of distribution used in this experiment. Does the result suggest that the Shettles method is effective? Explain. [10 marks] b) If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a price is 1/100, i) what is the probability that you will win at least prize ? [2 marks] (ii) what is the probability that you will win exactly one prize ? [2 marks] iii) what is the least number of lotteries that you should go so that the probability of win at least one is at least 0.5 ? [6 marks] c) In a large class, suppose your instructor tells you that you need to obtain a score in the top 10% of your class to get an A on a particular exam. From past experience she is able to estimate the mean and standard deviation on this exam will be 72 and 13, respectively. Assume that the grades will be approximately normal distributed, i) what will be the minimum score needed to obtain an A? [4 marks] ii) find the 33rd quartile for exam scores. [3 marks] iii) what is the probability that a person picked at random has an exam score of 60? [3 marks]

Question 3 [10 marks]

Many experts predicted that party B would gain control of the executive branch of the federal government in the year 2013 election. At one time, the general consensus among political scientists was that if party B fielded their best presidential candidate, they would have a 65% chance of winning the 2013 election. In addition, a poll of several thousand voters from across the nation indicated that 54% intended to vote party B.

Revise the experts’ opinion in light of the information from the poll using a Bayesian tabular analysis. [10 marks]

Question 4 [30 marks]
(a) Determine the value of 3s+t when A=[pic] is a symmetric matrix. [4 marks]
(b) Compute the determinant of matrix B=[pic]and obtain the inverse of matrix B. [8 marks]
(c) Consider a system of equations below, x1 + 3x2 + 5x3 = 14 2x1 – x2 – 3x3 = 8 4x1 + 5x2 – x3 = 6 Apply Gauss Elimination method to determine the values of x1, x2 and x3. [9 marks]

(d) Use Cramer’s rule to solve the following simultaneous equations. rx + 2sy + 3tz = 17 3rx + 2sy + tz = 11 4rx – 5sy + tz = -5 Express the values of x, y and z in terms of r, s and t. [9 marks]

Question 5 [20 marks] a) Is [pic]diagonalisable? [5 marks] b) A is a matrix [pic]. i) Find the eigenvalues. [5 marks] ii) State the matrix P. Then find P-1 and B such that P-1AP = B where B is a diagonal matrix. [10 marks]

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...Distribution System Modeling and Analysis The ELECTRIC POWER ENGINEERING Series The ELECTRIC POWER ENGINEERINGSeries series editor Leo Grigsy series editor Leo Grigsby Published Titles Electromechanical Systems, Electric Machines, and Applied Mechatronics Sergey E. Lyshevski Electrical Energy Systems Mohamed E. El-Hawary Electric Drives Ion Boldea and Syed Nasar Distribution System Modeling and Analysis William H. Kersting Linear Synchronous Motors: Transportation and Automation Systems Jacek Gieras and Jerry Piech Forthcoming Titles Induction Machine Handbook Ion Boldea and Syed Nasar Power System Operations in a Restructured Business Environment Fred I. Denny and David E. Dismukes Power Quality C. Sankaran Distribution System Modeling and Analysis William H. Kersting New Mexico State University Las Cruces, New Mexico CRC Press Boca Raton London New York Washington, D.C. 0812_frame_FM.fm Page iv Tuesday, July 31, 2001 10:49 AM Library of Congress Cataloging-in-Publication Data Kersting, William H. Distribution system modeling and analysis / William H. Kersting p. cm. -- (Electric power engineering series) Includes bibliographical references and index. ISBN 0-8493-0812-7 (alk. paper) 1. Electric power distribution–Mathematical models. I. Title. II. Series. TK3001 .K423 2001 621.31—dc21 2001035681 CIP This book contains information obtained from authentic and highly regarded sources. Reprinted material is...

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...LeisureCARD Wellington City Council’s Leisure Card allows people on low incomes and people who meet other criteria discounted entry into a range of recreation and leisure services. Fold in half, seal and return You qualify for the card if you are a Wellington City resident and: • a Community Services Card holder or • on the Invalid’s or Sickness benefit or • a recent migrant within the last six months of entry stamp in passport with a Resident Visa or • on the Green Prescription (GRx) scheme or • a Wellington City Council city housing tenant or CSWCC97914 Freepost 2199 Parks, Sport and Recreation (SECC01) Wellington City Council PO Box 2199 Wellington 6140 • a SuperGold Card holder. If you are not eligible please pass this on to someone who is. Wellington.govt.nz WHAT YOU NEED TO INCLUDE WITH YOUR LEISURE CARD ENROLMENT FORM 1. ONE of the following: a photocopy of both sides of your Community Services (CSC) or SuperGold card (SGC) OR OR OR Green prescription referral form a recent letter from WINZ, that shows your name, address and client number photocopy of entry date stamp in Passport and Resident Visa. Photocopy or tear the top off a bill showing your name and address. ENROLMENT FORM First name Surname Address Suburb Phone number Mobile Email address Date of birth Tear here, fold in half, seal and return Postcode Ethnicity 2. Proof that you live in Wellington 3. Photo Gender M F (please circle one) Please read and sign the following: ...

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...tes ah. 1. Ticketing online (blitz ok) - Blitz --> lebih gampang kalau ada blitz card, bisa beli online dari kost, milih tempat duduk dan gak terikan oleh s/d jam 11 siang. datang ke blitz nge pas waktu tayang jadi bisa langsung nonton. , ni salah satu perusahaan menurut gw yang nerapin IT sampe ke strategic perusahaannya. - xxi --> sudah bisa pilih tempat duduk tapi cuman sampe jam 11 itu juga kalau jam 11 kurang 10 dah gak bisa di beli . software ticketing client sama ticketing di counter bioskop kagak integrasi. tapi iklan pembelian tiketnya wahh banget 2. ticketing di counter (xxi ok) - blitz --> antri nya panjang, ane kalau nonton dadakan di CP pasti antri panjang. counter sekalian jualan makanan. - xxi --> kalau nonton di TA, paling lama antri 2-3 orang kecuali kalau satnight, beuhhh promo buy 1 get 1 free bca bikin antrian sembako. 3. promo ticket (blitz ok) - blitz --> sekarang banyak kerja sama dengan CC, mandiri, permata, telkomsel friday dan cc lainnya. bisa ada promo buy 1 get 1 free - XXI --> semenjak promo BCA cuman bisa sabtu ane dah males ke XXI 4. suasana counter (blitz cozy) - blitz --> lebih enak, sofa nya banyak. Suasana rada gelap, untuk anak muda yang pacaran asik. - xxi --> tempat duduknya dikit, jadi kalau nunggu film kudu muter" mall. Muales banget kalau muter". 5. staff (xxi ok) -blitz --> apa memang pangsa pasarnya untuk anak gaholl dan anak muda, pakaian santai banget. sebenarnya kalau liat di sisi lain, mereka ini pengen...

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