...CURRICULUM VITAE John Robinson Present Position: Professor, School of Mathematics and Statistics, University of Sydney. Degrees: University of Queensland, B.Sc. (1961) University of Queensland, B.Sc. (Hons II, 1, Mathematics)(1963). University of Sydney, Ph.D. (Mathematical Statistics)(1969). Thesis title: ”Mixtures of Distributions”. Honours: 1984: Elected Member of the International Statistical Institute. 1990: Elected Fellow of the Institute of Mathematical Statistics. 2008: Awarded the Pitman Medal of the Statistical Society of Australia. Positions held: Biometrician, Queensland Department of Primary Industry, 1961-1964. Lecturer, Biometry Section, Department of Agriculture, University of Sydney, 1964-1966. Lecturer, Department of Mathematical Statistics, University of Sydney, 19661971. Senior Lecturer, Department of Mathematical Statistics, University of Sydney, 1972-1982. Associate Professor, Department of Mathematical Statistics, University of Sydney, 1983-1991. Professor, School of Mathematics and Statistics, University of Sydney, 1991Visiting Associate Professor, Department of Statistics, University of Connecticut, 1969-1970. Visiting Associate Professor, Department of Statistics, University of Waterloo, Canada, 1975-1976. Visiting Lecturer, Department of Statistics, University of California, Berkeley, 1979-1980. Visiting Associate Professor, Department of Statistics, University of Rochester, NY, 1986, January-July. Administration: Head of Department of Mathematical Statistics...
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...PERCENTAGES: THE MOST USEFUL STATISTICS EVER INVENTED Thomas R. Knapp © 2010 "Eighty percent of success is showing up." - Woody Allen “Baseball is ninety percent mental and the other half is physical.” - Yogi Berra "Genius is one percent inspiration and ninety-nine percent perspiration." - Thomas Edison Preface You know what a percentage is. 2 out of 4 is 50%. 3 is 25% of 12. Etc. But do you know enough about percentages? Is a percentage the same thing as a fraction or a proportion? Should we take the difference between two percentages or their ratio? If their ratio, which percentage goes in the numerator and which goes in the denominator? Does it matter? What do we mean by something being statistically significant at the 5% level? What is a 95% confidence interval? Those questions, and much more, are what this book is all about. In his fine article regarding nominal and ordinal bivariate statistics, Buchanan (1974) provided several criteria for a good statistic, and concluded: “The percentage is the most useful statistic ever invented…” (p. 629). I agree, and thus my choice for the title of this book. In the ten chapters that follow, I hope to convince you of the defensibility of that claim. The first chapter is on basic concepts (what a percentage is, how it differs from a fraction and a proportion, what sorts of percentage calculations are useful in statistics...
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...Juan Sanchez Dr. Bridgette McAden MAT 110/50 February 27, 2012 William A. Massey – Mathematician He was born in Jefferson City, Missouri, as the younger of two sons of Richard and Juliette Massey. He is a graduate of the public schools of St. Louis, Missouri and attended high school in University City, a suburb of St. Louis. After receiving a Harvard Book Award and a National Achievement Scholarship at University City High School, he entered Princeton University in 1973. There, he encountered his first real introduction to research mathematics in an honor calculus course taught by the late Ralph Fox. He wrote his undergraduate senior thesis, titled "Galois Connections on Local Fields,'' in algebraic number theory, under the direction of the late Bernard Dwork, and graduated from Princeton in 1977 with an A.B. in Mathematics (Magna Cum Laude, Phi Beta Kappa, and Sigma Xi). That same year he was awarded a Bell Labs Cooperative Research Fellowship for minorities to attend graduate school in the department of mathematics at Stanford University. In 1981, he received his Ph.D. degree from Stanford and his thesis, titled "Non-Stationary Queues,'' was directed by Joseph Keller. Dr. William Massey's parents, Juliette and Richard Massey Sr. were both educators; she was from Chattanooga, Tennessee and he was from Charlotte, North Carolina. They met at Lincoln University in Jefferson City, Missouri which became his birthplace. Professor Massey's initial fascination with numbers...
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...through the decisions made in the industry every day by the sponsor or pharmaceutical company sponsoring the investigations product. While the sponsor analysis their data, from a team management point of view, the author must determine the number of sites required to achieve the desired results. It is here were statistics and probability comes into place. In order to determine and try to achieve the desired results within the population allowed, the author must determine the number of sites required in order to achieve the desired results. In Phase II, since the sample size is small, the number of sites is determined based on the number of sites needed. For example, past history shows that in order to enroll 95 subjects, 26 sites must be selected. This is based on achieving the desired results 44% of the time. A decision must be made to determine whether or not the author should contract the same number of sites or determine if a different number of sites will be needed. If the desired results are achieved 44% of the time based on past experiences, then in order to achieve a greater success rate, the author will use probability to...
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...Airlines such as WestJet and JetBlue promote low-cost and high-efficiency carriers by giving extremely competitive fares and outstanding customer service. Reservation system for these airlines are so important that when these companies need to make sweeping IT upgrades, their relationships with customers and their brands can be tarnished if things go awry. This can be seen when in 2009, both airlines upgraded their airline reservation systems, SabreSonic CSS was launch, customers struggled to place reservations, and the WestJet Web Site crashed repeatedly. WestJet’s call centers were also overwhelmed, and customers experienced slowdowns at airports. This delay provoked a deluge of customer dissatisfaction. In addition to the increase in customer complaint calls, customers also took to the Internet to express their displeasure. Angry flyers expressed outrage on Facebook and flooded WestJet’s site, causing the repeated crashes. These problems impact both of the airlines operational activities and decision making to change their initial carrier which had started out as a system designed for smaller start-up airlines to a better carrier. Other than that, both airlines needed more processing power to deal with a far greater volume of customers. They also needed features like the ability to link prices and seat inventories to other airlines with whom they cooperated. Both JetBlue and WestJet contracted with Sabre Holdings to upgrade their airline reservation systems. The differences...
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...than three consecutive words from another writer. I also certify that this paper was prepared by me specifically for this course. Student’s Signature: Khanya Clark-Robinson Khanya Clark-Robinson Final Paper Kahneman1, Daniel and Tversky, Amos. (1979). “Prospect Theory: An Analysis of Decision under Risk.” 1. Big Question The big question of this article is how people make decisions under uncertainty of risks and rewards. Decisions under risks assume that a decision can be quantified as a positive or negative outcome with quantifiable probability. This theory was developed for monetary decisions and the process observations can be included in other fields; fields such as social sciences and policy making. 2. Background Information The standard for analyzing decisions was the theory that quantified the outcome and probability. A reasonable individual will choose the option with the best utility. The probability results should all add up to 100%. The utility theory has a defined logical foundation and it represents a behavior with uncertainty and a variety of decisions. At this time it is the approved method that evaluated decisions in science. Although it is utilized in science it lacks the human psychology that enables real life decisions. 3. Limitations of previous work. The expected utility theory fails in certain types of situations. An example would be insurance companies that utilize the expected utility theory. The profits are generated...
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...in nature and is dependent on the number of players, the more the players, the risker the lottery hence the lower the chances of winning. Consider a lottery where in one case the participants are One hundred and in the other are a thousand; the probabilities would be a hundredth and a thousandth respectively meaning the chances of winning the earlier case is higher than the later. Playing a lottery would be a good investment idea whose favorable success implies a sudden glory to wealth acquisition based on the amount of lottery bid. To play a lottery one has to be a risk taker since in itself lottery involves a higher risk and as an investor, the higher the risk the higher the returns. In essence therefore the lottery player has to factor in a lot of risk since the whole idea is a gamble. Before playing lottery, one has to ask several questions for instance; whether it is a good idea to get in to the game or not? With the money factor in mind the other question would be; would I get more or less money in the lottery? Such questions inform the action one would take. Economics reasoning rule dictates that a player would have to continue playing until you get all the money. This is a notion in itself is not sufficient since by probability and the theory of chance one will never get all the results being favorable though it keeps one’s believe in trying and retrying with the objective of always winning in mind. Playing lottery also depends on the financial position and the level...
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...When we look at the terms of risk reduction and hazard control we get the terms of eliminating and reducing the issues. Where control of hazards seek to maintain instead of removing the process. The term that risk reduction is applied to is a complete understanding of the intent of the criterion to ty risk- reducing the probability of the events occurring. In the terms of the second and third definitions of risk because they include both the probability of the event and the severity of the harmful consequences. Risk reduction is a term that capture the fundamental concept that harmful events consist of the three phases. Jensen, R. C. (2012). Risk-Reduction Methods: For Occupational Safety and Health (1st e A physical model is one that thing would be (like if you were creating a model of say a building, park, airplane or other large structure or area), sometimes it's actual size if it is small enough. You build or have built that you can touch. Sometimes it is a miniature version of what the real. What I mean by physical models is those that are meant to represent the physical world, as opposed to – for example – biomechanical, or computers models. Jensen, R. C. (2012). Risk-Reduction Methods: For Occupational Safety and Health (1st ed.). Whenever you are planning or one have to deal with risk and hazards we should looking in to the process from the beginning to the end. Where do we want to be at this point in the project as...
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...The enforceability of bar bets is generally a common law area in that the jurisprudence here is more or less advanced by the courts. Bar bets are technically governed by contract law and their enforceability is determined by the capacity of the patrons to the bets. This means whether or not they are intoxicated, after all they are in a bar. In a bar bet such as the one in this scenario is enforceable only where both parties are sober, intoxication leads to the lack of capacity. A bar bet is essentially a contract that is dependent on a particular outcome. Performance of the contact commences after a particular outcome, the outcome being the football match. In this particular contact, there are the essential requirements...
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...“Maybe I will win this time. He has to score this game! Maybe he will get hurt and I will win…” These are just a few things that people say when betting on players and different sports teams. Gambling is usually a game of luck, but in sports gambling there is often some skill involved. The problem with “skillful gambling” is that it goes straight to the gamblers head because he thinks he knows who will play well and who won’t. In reality no one knows how the player will play; not even the player himself. “The ban on sports betting does exactly what the prohibition did. It makes criminals rich. (James Surowiecki)” Out of the fifty states in the USA, only Delaware and Nevada allow gambling on sporting events. American citizens have lost a combined $4 billion dollars gambling last year, plus a speculated $80-380 billion gambling illegally online (Billy Hobson, The Washington Post). Having said this people still run the risk of jail time as well as loosing all their money when they gamble on sporting events online. So should all forms of betting on sporting events be allowed everywhere in the United States? When reading on this topic I found two articles that did polls on random people to see if they would like sports gambling to be legal in the United States. The two articles polled a collective 1,247 different people and roughly 75% (930 people) of them believe that they should be allowed to gamble on sporting events (Michael Buteau and PBS Newshour) . Even many prominent people...
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...Throughout any life mistakes are bound to happen and no one is excused from these mistakes. Gambling with scratch offs was a mistakes that I rationally knew would end against my odds but yet I dabbled with gambling. I may have made a net loss of only ten to twenty dollars but the whole idea of going against my rational thinking makes this a mistake of mine. I have experience working at a liquor store and witnessed people lose hundreds of dollars at a time from gambling but yet my coworker somehow got me hooked. I knew the odds were not in my favor but yet I gambled and interestingly this is common as “many scholars have found it disturbing that humans might have been rational enough to invent probability theory but not rational enough to use...
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...Unit 2 – Probability and Distributions Michelle Hartman American InterContinental University Abstract This is a single paragraph, no indentation is required. The next page will be an abstract; “a brief, comprehensive summary of the contents of the article; it allows the readers to survey the contents of an article quickly” (Publication Manual, 2010). The length of this abstract should be 35-50 words (2-3 sentences). NOTE: the abstract must be on page 2 and the body of the paper will begin on page 3. Memo To: American Intellectual Union From: Michelle Hartman Date: January 13, 2013 Subject: Data Set Dear American Intellectuel Union: Provide a brief introduction (2-3 sentences) to the email you are writing to provide a preview of what will be covered. Overview of the Data Set Provide an overview for the current data set. What variables does it include? Which are qualitative, which are quantitative? What categories are used and why are they used? Begin your e-mail to AIU by first providing an overview of the database, that is, a story about the characteristics that may include types of variables, etc. Use of Statistics and Probability in the Real World This is a great place for outside research. Be sure to include information about where statistics are being used in the workplace. The Value of Statistics Explain the value of statistics and its contribution to the success of an organization. This is a great place for outside research. Distributions ...
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...700+ GMAT Problem Solving Probability and Combinations Questions With Explanations Collected by Bunuel Solutions by Bunuel gmatclub.com 1. Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his? A. 24/64 B. 32/64 C. 36/64 D. 40/64 E. 42/64 Expected value of a roll of one dice is 1/6(1+2+3+4+5+6)=3.5. Expected value of three dices is 3*3.5=10.5. Mary scored 10 so the probability to have more then 10, or more then average is the same as to have less than average=1/2. P=1/2. Answer: B. Discussed at: http://gmatclub.com/forum/mother-mary-comes-to-me-86407.html 2. Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations, and she can try 75 different possibilities, what is the probability that she does not pick the one correct combination. A. 1 B. 159/160 C. 157/160 D. 3/160 E. 0 When trying the first time the probability Denise doesn't pick the correct combination=3999/4000 Second time, as the total number of possible combinations reduced by one, not picking the right one would be 3998/3999. Third time 3997/3998 ... And the same 75 times. So we get: [pic] every denominator but the first will cancel out and every nominator but the last will cancel out as well. We'll get 3925/4000=157/160. Answer: C. Discussed at: http://gmatclub.com/forum/4000-possible-combination-84435...
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...so, he'd need either to purchase a blade which could be mounted onto one of his tow-trucks (which would let him plow when the tow-truck wasn't needed for towing), or to buy a new snowplow vehicle dedicated purely to snow removal. How well his decision works out will depend, of course, on how heavy the snowfall is over the winter season. The payoff table ($) for Martin's Service Station follows: Snowfall Heavy Moderate Light s1 s2 s3 Decision Alternatives Purchase snowplow d1 7000 2000 -9000 Do not invest d2 0 0 0 Purchase blade d3 3500 1000 -1500 Probability of States of Nature 0.4 0.3 0.3 Suppose Martin decides to wait to check the September temperature pattern before making a final decision. Estimates of the probabilities associated with an unseasonably cold September (I1) are P(I1|s1) = .30, P(I1|s2)= .20, P(I1|s3) = .05. If Martin observes an unseasonably cold September, what is the recommended decision? If Martin does not observe an unseasonably cold September (I2), what is the recommended decision? snowfall heavy moderate light snowplow $7,000 $2,000 -$9,000 decision nothing $0 $0 $0 blade $3,500 $1,000 -$1,500 likelihood 40.00% 30.00% 30.00% Pr( September | snowfall ) heavy moderate light likelihood Sept. cold 30.00% 20.00% 5.00% 19.50% Sept. mild...
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...------------------------------------------------- Top of Form Grade for Felecia McClain: Week 3 Quiz | Numeric grade: | 75/100 | Letter grade: | | Comments: Felecia - It appears you have a fair understanding of the material. Please let me know if you have questions on any areas where you lost points. Wilma | <Close Window | Autograde Summary | Date Taken: | 5/21/2011 10:58:45 PM | Time Spent: | 2:00:00 (2:00 allowed) | Points Received: | 75 / 100 (75%) | These are the automatically computed results of your exam. Grades for essay questions, and comments from your instructor, are in the "Details" section below. | Question Type: | # Questions: | # Correct: | Multiple choice | 6 | 5 | Essay | 3 | N/A | | Grade Details | | | | 1. | Question: | (TCO A) In the _____ organization structure, the project manager is responsible for the project results, while the functional managers are responsible for providing the resources needed to achieve the results. | | Your Answer: | | | mixed-mode | | | | | matrix | ( page 409 ) | CORRECT | | | project | | | | | functional | | | | | | Points Received: | 5 of 5 | 2. | Question: | (TCO H) What are the four phases of the project life cycle? | | Your Answer: | | | Identify a need, plan, develop a proposed solution, and perform the project | | | | | Plan, identify a need, develop a proposed...
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