46 Probability, Random Variables and Expectations Exercises Exercise 1.1. Prove that E [a + b X ] = a + b E [X ] when X is a continuous random variable. Exercise 1.2. Prove that V [a + b X ] = b 2 V [X ] when X is a continuous random variable. Exercise 1.3. Prove that Cov [a + b X , c + d Y ] = b d Cov [X , Y ] when X and Y are a continuous random variables. Exercise 1.4. Prove that V [a + b X + c Y ] = b 2 V [X ] + c 2 V [Y ] + 2b c Cov [X , Y ] when X and Y are a continuous random variables
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research the founders of JET Copies did to determine the length of time between breakdowns, the probability of repair times, and the revenue they would take in daily. Because there is a variance amongst the days it would take to repair the copier as well as the revenue being lost, creating this simulation helps JET Copies make the best decisions considering all the possibilities through sampling and probability. While it would be more accuracy to follow the physical process to make the decision based
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particular experiment if the outcome of that experiment is one of the elements of E. 6 Examples • When a fair die is rolled, probability of each outcome is 1/6. • So probability of E: Even numbers is P(E) = 3/6 = 0.5. • But a die does not need to be fair, and outcomes are not always equally likely! • For example, suppose we have a loaded die with probabilities of 1, 2, 3, 4, 5 and 6 resp. 0.25, 0.15, 0.15, 0.15, 0.15 and 0.15. • Then P(E) = 0.45. 7 Basic Concepts For any event
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International Communications in Heat and Mass Transfer 33 (2006) 1088 – 1095 www.elsevier.com/locate/ichmt Measurement of mixing of two miscible liquids in a stirred vessel with electrical resistance tomography ☆ Sin Kim a,⁎, Andre Ngansib Nkaya b , Tomasz Dyakowski b b a Department of Nuclear and Energy Engineering, Cheju National University, Cheju 690 756, Korea School of Chemical Engineering and Analytical Science, University of Manchester, Manchester M60 1QD, United Kingdom Available
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s t r a t e g y November 2008 Using ‘power curves’ to assess industry dynamics A new way of looking at industry structures reveals startling patterns of inequality among even the largest companies. Michele Zanini Major crises and downturns often produce shakeouts that redefine industry structures. However, these crises do not fundamentally change an underlying structural trend: the increasing inequality in the size and performance of large companies. Indeed, a financial crisis—for
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Ch. 4 Future – Workbook (Extra) Homework Answers Practice 5, p. 39 1. a. prior plan 4. a. prior plan 2. b. decision of the moment 5. a. prior plan 3. b. decision of the moment 6. b. decision of the moment Practice 6, p. 39 1. I’ll call him 4. We’re going to the game 2. She’s going to be / She’ll be 5. I’ll open it 3. I’m going to fly 6. I’m going to teach / I will teach Practice 7, p. 39 1. will 6. Will 2. are going to 7. Will 3. will 8. Is going
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A++PAPER;http://www.homeworkproviders.com/shop/ba-350-week-7-assignment/ BA 350 WEEK 7 ASSIGNMENT BA350 Week 7 Questions 6-3 – Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation coefficient with the market of -0.3, and a beta coefficient of -1.5, Security B has an expected return of 12%, a standard deviation of returns of 10%, a correlation with the market of 0.7, and a beta coefficient of 1.0. Which security is riskier? Why?
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EVENT STUDY OF STOCK SPLITS Final Project Report of Investment Banking & Financial Services (IBFS) February 2016 Submitted to: Prof. A.K. Mishra Submitted by: Group 3, Section A DHEERAJ MADAAN(Mob- +91 7523849812) | PGP30193 | HARI SINGH CHOUDHARY | PGP30198 | RITIN KAKKAR | PGP30390 | ROHAN SARAF | PGP30219 | SAKSHI SONI | PGP30392 | | | Indian Institute of Management, Lucknow Contents Data 3 Sample 3 Methodology 4 Alpha and Beta Estimation 4 Event Study
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ASSIGNMENT 8 SAMUEL ALVAREZ PROBLEM 5.1 As it is explained in the Exxon example, a firm might use a Divisional WACC, by identifying comparison firms(comps). These are firms that would have a similar risk and capital structure than the division for which we are trying to find a divisional WACC. The idea is to use an average WACC of these firms as an estimate WACC for our division. This would reduce the risk of the firm taking overinsting/underinvisting in its divisions. PROBLEM 5.2 Our
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