two hypothetical stocks as examples. She let x equal the change in assets for a $1‚000.00 investment in stock1 and y reflect the change in assets for a $1‚000.00 investment in stock2. She showed the seminar participants the following probability distributions: x | P (x) | Y | P (y) | $-1‚000 | 0.1 | $-1‚000 | 0.2 | $0 | 0.1 | $0 | 0.4 | $500 | 0.3 | $500 | 0.3 | $1‚000 | 0.3 | $1‚000 | 0.05 | $2‚000 | 0.2 | $2‚000 | 0.05 | a. Compute the expected values for the random variables x and
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selling the house within 7 weeks (49 days)‚ first compute Z 49 mean / std.dev. 49 46 / 7.0789 0.4238 Looking this z-value up in the standard-normal table results in a probability of 0.664 for selling the house within 7 weeks. Question 2 (e) To determine this value‚ first find a z-value in the standard-normal table such that the area to the left is 0.95. That z-value is 1.645. Then‚ the
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STAT 543 Homework 4 Solution Feb. 10th‚ 2005 STAT 543 Homework 4 Solution 1. Problem 2.1.2 Consider n systems with failure times X 1 ‚...‚ X n assumed to be independent and identically distributed with exponential‚ Σ(λ ) ‚ distributions. (a) Find the method of moments estimate of λ based on the first moment. (b) Find the method of moments estimate of λ based on the second moment. (c) Combine your answers to (a) and (b) to get a method of moment estimate of λ based on the first two moments
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between dependent variable and series of independent variables. Its general mathematical model is: Y = β0 + β1X1+ β2X2 + … + βρXρ + ϵ where β is the parameter to be estimated‚ Xi is the observed value‚ ϵ is the random variable obeying standard normal distribution N(0‚1). The following classical assumptions must be considered to come up with the linear regression model: Assumption 1: The regression model is linear in parameters‚ Yi = β1 + β2Xi +ui
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Requests Bach 5 Beethoven 26 Brahms 9 Dvorak 2 Mendelssohn 3 Mozart 21 Schubert 12 Schumann 7 Tchaikovsky 14 Wagner 1 a. Does the data listed above comprise a valid probability distribution? Explain. The individual probabilities are all between 0 & 1 and the sum = 100% b. What is the probability that a randomly selected request is for one of the three B’s? P(one of the B’s) = P(Bach) + P(Beethoven) +
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TABLES AND USEFUL EQUATIONS ARE PROVIDED IN THE BACK OF THE EXAM. Do cu 10. WHEN PERFORMING OR DESCRIBING A STATISTICAL TEST‚ MAKE SURE TO STATE THE NULL AND ALTERNATIVE HYPOTHESES‚ THE LEVEL OF SIGNIFICANCE‚ THE TEST STATISTIC AND ITS DISTRIBUTION UNDER THE NULL‚ THE DECISION RULE AND‚ WHEN YOU HAVE ENOUGH INFORMATION‚ THE CONCLUSION OF THE TEST. Th ink sw ap -2- Part A. Multiple choice questions Answer each question by circling one and only one answer. Each question
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Diagnosis & Classification Definitions of abnormality What is abnormality? How can if be measured if it can be measured? The term Abnormal is defined as deviating from what is normal or usual. So what is normal? The word ‘normal’ usually refers to conformity to standard or regular patterns of behaviour. The concept of abnormality is essentially a label applied to behaviour that does not conform. Statistical Infrequency. Key ideas for this definition: • A person’s thinking or
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MANAGERIAL STATISTICS Course Description: This course introduces students to basic concepts in probability and statistics of relevance to managerial decision making. Topics include basic data analysis‚ random variables and probability distributions‚ sampling distributions‚ interval estimation‚ hypothesis testing and regression. Numerous examples are chosen from quality-control applications‚ finance‚ marketing and management. Type and Length of Exam: Open book‚ 3 hours‚ calculator such as HP-12C or HP-21S
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Etchegaray‚ Ph.D. Abstract After running the "Research Methods for Managerial Decisions" simulation Team B will further explore the multiple regression model and how it relates to Coffee Time predicting weekly revenue more accurately using normal values and lagged values. The difference between the two models will also be explained. This paper will also look at Coffee Time’s adverting spending to travel agents‚ as well as provide the key decision maker in the simulation with recommendations
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Chapter I 2. To mitigate agency problems between senior executives and shareholders‚ the compensation committee of the board should devote more to long term incentives; the idea is to align the pocketbook interests of managers directly with those of stockholders‚ and the reason is to motive a manager and make him or her to act in the interests of the firm’s stockholders depends on the structure of his or her compensation package‚ the threat of dismissal‚ and the threat of takeover by a new group
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