# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

33 Pages

### practice

Course: ORIE 4580, Fall 2011
School: Cornell
Rating:

Word Count: 308

#### Document Preview

1. Question Let X1, X2, ... be i.i.d. random variables with common variance 2. Define the sample variance as 1 n 2 sn ( X i X n )2 , n 1 i 1 where X n denotes the regular sample mean. Show that the expectation of sample variance is equal to 2. Question 2. A man has 4 keys in his key chain and he knows that one of these keys opens a particular door. a) He is trying each key in his key chain with replacement to...

Register Now

#### Unformatted Document Excerpt

Coursehero >> New York >> Cornell >> ORIE 4580

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
1. Question Let X1, X2, ... be i.i.d. random variables with common variance 2. Define the sample variance as 1 n 2 sn ( X i X n )2 , n 1 i 1 where X n denotes the regular sample mean. Show that the expectation of sample variance is equal to 2. Question 2. A man has 4 keys in his key chain and he knows that one of these keys opens a particular door. a) He is trying each key in his key chain with replacement to find the key that opens the door. What is the probability that he will do more than 4 trials to find the key that opens the door? b) He is trying each key in his key chain without replacement to find the key that opens the door. Sketch an Excel spreadsheet sheet that can be used to compute the probability that he will do more than 2 trials to find the key that opens the door. Make sure to describe how you would compute a confidence interval on this probability. draw (Simply a grid, label the columns and rows and put the Excel formulas you would use to estimate the quantity of interest. You only need to provide one line of formulas.) Question 3. a) If U is a uniformly distributed random variable between 0 and 1, what is the expectation of U2 ? b) Assume that you have a full period LCG with modulus 100. You use this LCG to generate 100 random numbers. You use these random numbers to estimate the expectation E{U 2 }. That is, if U1, U2, ... are the random numbers you get from the 1 100 2 LCG, then you compute U i . What would your estimate be? Give a precise 100 i 1 mm 12m 1 .) numerical answer. (Hint: Note that 1 + 4 + 9 + ... + (m-1)2 = 6 Compare your answer with part a. Question 4. Assume that X and Y are independent and uniformly distributed over [0.1] . Compute the expectation and variance of (X+1)/(Y+2).
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Cornell - ORIE - 4580
Ivy Tech Community College - ENG - 111
Madness in College Athletics Isn't Confined to MarchThe basketball arena is packed with a sellout crowd of over 13,000 cheering fans. The televisioncameras capture the game for the entire nation. A horn blares, and the game, which wassupposed to be a b
Ivy Tech Community College - ENG - 111
Athletic BurnoutAthletic staleness and burnout is a big problem for many of todays athletes whether they are atthe amateur or professional level. The good thing about this problem that ends up in total andcomplete physical and emotional exhaustion is t
Ivy Tech Community College - ENG - 111
The Importance of Adequate Carbohydrate ConsumptionSeverely restricting carbohydrates is not healthy and offers little advantages in terms of fat loss.Consumers of low carbohydrate products are often deceived into believing all low carbohydrateproducts
Ivy Tech Community College - ENG - 111
Dying as a championThis poem is a part of Housmans most famous volume of work called A Shropshire Lad. Inthese works Housman wanted the reader to think about life and the meaning of it all. In one ofHousmans most celebrated poems To an Athlete Dying Yo
Ivy Tech Community College - ENG - 111
Courageous Athletes and the Gender BarrierSports have always maintained barriers concerning the gender of the athletes. Women as wellas men have been discriminated in sports, which have for so long been defined as a one-sexsport. For example, boxing ha
Ivy Tech Community College - ENG - 111
Making the CutIn response to the failure of the International Bill of Gender Rights to pass congress in the fall of2010, I propose a film that challenges society to examine the controversies surrounding genderidentity construction and transgender peopl
Ivy Tech Community College - ENG - 111
Disadvantages of scholarly studentsThe major issue that athletes are being accepted into colleges over highly standard students isbecoming more common as the years go by. It seems to be simply unfair to the student.Choosing athletes over academics is a
Ivy Tech Community College - ENG - 111
Blood DopingBlood doping does not involve the use of drugs. Blood is injected intothe body to increase the number of red blood cells. Athletes usuallyinject their own blood, which has been removed earlier and stored, butit can come from another person
Ivy Tech Community College - ENG - 111
The Double Standard for The College AthleteIn todays college atmosphere equality is stressed but is there a double standard for the collegestudent/athlete. In the paper I will briefly outline the various ways college athletes are among thechosen ones i
Ivy Tech Community College - ENG - 111
Performance Enhancing Drugs in SportsPerformance Enhancing Drugs are a big temptation in any athlete's life. Are performanceenhancers as bad as they are made out to be? Melissa Winkller, and author of the VegetarianTimes in New York states, &quot;Sport supp
Ivy Tech Community College - ENG - 111
Disorder With EatingAs field hockey began in late August I thought that she was a lot better, but, as time went on, Ifound out that she was not any better than when she left school last May. She was really gettingworse. Living with someone that has an
Ivy Tech Community College - ENG - 111
Energy Bars: An Athlete's Friend or Foe?I. What are &quot;energy bars&quot;?Definition and Contents:An energy bar is a convenient, fortified snack-food containing a blend of simple and complexcarbohydrates, protein, fat, fiber, and vitamins and minerals. The pr
Ivy Tech Community College - ENG - 111
The Spiritual Athlete's Path to EnlightenmentThroughout this world, there are many mysterious and amazing feats that can be found. Peopleare capable of doing most incredible things that we have never deemed possible. Only by trulybelieving in ourselves
Ivy Tech Community College - ENG - 111
Essay 1For years, Division I athletes have been pouring their hearts out day after day, week after week,to protect the pride and tradition of their universities. With television contracts and shoe dealsalone, the athletes are really bringing in the mon
Ivy Tech Community College - ENG - 111
Fitness and TrainingI unfortunately injured myself, before starting this piece ofcoursework. I produced fluid on my hip and was on crutches for one anda half months. I was diagnosed with sever Hyper Mobility Syndrome andI was advised by the specialist
Ivy Tech Community College - ENG - 111
Favoritism in SchoolsWhen I think about discrimination, the one issue that sticks out in my mind is the favoritismshown towards athletes in school. Discrimination is the process in which two stimuli differing insome aspect are treated differently, and
Ivy Tech Community College - ENG - 111
Assessment of Aerobic FitnessIntroductionIn this report I will be examining the information gathered from twocontrasting athletes, after they participated in the V02 and Bloodlactate transition test.I will be focusing on the physiological response to
Ivy Tech Community College - ENG - 111
Pure Athletic FuelAn athlete's diet must include foods particularly suited for the athlete's sport. This has beenan area of great study in recent years. Researchers are creating diets that provide athletes withthe foods that contain high levels of the
Ivy Tech Community College - ENG - 111
The Social and Cultural Costs and Benefits of Men and Women Playing a non-traditional Sportfor their GenderThe lines that separate the sexes in sport have been historically rooted in society's way ofthinking. Though these lines have lately begun to fad
Ivy Tech Community College - ENG - 111
Against Gender Norms in SportsAgainst Gender Norms A controversial topic that is prevalent in the sport world today is thegender division of acceptable sports for males and females. American culture placesstereotypes on athletes who choose to participa
Ivy Tech Community College - ENG - 111
Greed In SportsRecently Michael Jordan wanted to de-certify the union of the NationalBasketball Association, because he felt he could never make what he was worthunder the current agreement. Michael Jordan had an estimated income of \$33million in 1994
Ivy Tech Community College - ENG - 111
Greek SportsAncient boxing had fewer rules than the modern sport. Boxers fought without rounds until oneman was knocked out, or admitted he had been beaten. Unlike the modern sport, there was norule against hitting an opponent when he was down. There w
Ivy Tech Community College - ENG - 111
Hitler's Victory at the 1936 Summer OlympicsAdolf Hitler, the leader of Greater Germany, August 1, 1936, opened the 1936 World 11thSummer Olympic Games in Berlin, Germany. Adolf Hitler was a perfect host; he welcomed theworld's athletes to the Berlin O
Ivy Tech Community College - ENG - 111
Hoops and DreamsSarah Hughs, Landon Donovan, and Venus Williams, are three of the most recognized athletesin their respective sport. These three athletes are proven champions and have the Olympicmedals and championship trophies to prove it. However whe
Ivy Tech Community College - ENG - 111
Housman's &quot;To An Athlete Dying Young&quot;A. E. Housman's &quot;To an Athlete Dying Young,&quot; also known as Lyric XIX in AShropshire Lad, holds as its main theme the premature death of a young athleteas told from the point of view of a friend serving as pall beare
Ivy Tech Community College - ENG - 111
INTRODUCTIONIn the opinion of many fans, deviance and criminality are rampant among athletes in todayspower and performance sports. Onlookers feel that it has gotten worse in recent years. Take forinstance, last months Pistons/ Pacers spectacle in whic
Ivy Tech Community College - ENG - 111
MJCNN resource reports the Michael Jordan effect on the economy. MichaelJordan is as CNN states &quot;golden marking tool &quot;. Michael Jordan makes muchless that he is worth. With the impact he put on the economy MichaelJordanshould be able to receive any a
Ivy Tech Community College - ENG - 111
Long Term Training Programs for Elite Youth AthletesThere are many factors that can influence an athletes performanceAnd both their coach and themselves need to be aware of this andrealise that the appropriate training programme is essential if theyin
Ivy Tech Community College - ENG - 111
Magic Johnson More than an Average AthleteIn my life, I had many people who I really admire from Tiger Woods, Michael Jordan, SeanCarter (Jay-z), and Robert Johnson. Others who have influenced me in my development of aperson were my parents; my mother
Ivy Tech Community College - ENG - 111
Modern Day Hero VS. Anglo-Saxon HeroDuring the Anglo-Saxon period, people worshiped Hero's. Here are a couple of ways how amodern day hero can be compared to one in the past.Nolan Ryan will be my choice of a classic modern day hero. One of the firsts o
Ivy Tech Community College - ENG - 111
Nutrition: A Key to Success in SportsCertain foods can make a difference in sports competition. Conditioning, strength, and speedhave been the focal points of athletic training for years; however, the research on nutritionalelements indicates their imp
Ivy Tech Community College - ENG - 111
The Olympic AthleteI always have respected Olympic athletes, for they spend all their timetraining. Victorious athletes were professionals in the sense that they livedoff the glory of their achievement ever afterwards. Their hometowns might rewardthem
Ivy Tech Community College - ENG - 111
OlympicsAfter the closing ceremonyThe Sydney 2000 Games were the largest yet. Despite their size, with arecord breaking number of athletes participating; they were wellorganised, renewing faith in the Olympic Movement. The Olympiccommittee also spent
Ivy Tech Community College - ENG - 111
A Summary of:The Psychosocial Characteristics of Olympic Track and Field AthletesFortunately, it was quite a simple task to find a research topic related to the material that wehave covered so far in sport psychology. After some quick searching, we ran
Ivy Tech Community College - ENG - 111
The Real DealAre people who excel in sports more likely to be given a break?When looking at a topic such as this one. You need to ask yourself the following questions: Areathletes given special privileges? Do those with more power than the players affe
Ivy Tech Community College - ENG - 111
Student Athlete RecruitingLamarr Monterio, a sophomore wide receiver at Northeastern University, propelled his highschool football team, Oliver Ames, into a winning team.I was the first player to be recruited for a Division I school in years, Monterio
Ivy Tech Community College - ENG - 111
Combining Religion and SportsI believe the question posed by Prebish asking whether sport is a parallel to religion or identicalmeans that sport is very closely related to the same principles. It is an organized institutiondealing with faith, disciplin
Ivy Tech Community College - ENG - 111
Athletes as Role ModelsAthlets have been lookd up to as role models for as long as sports have exsted. There is justsomething attractive about the thought of being in good physical condition and being talented insports. But, are athlets the kind of peo
Ivy Tech Community College - ENG - 111
SAIN V. CEDAR RAPIDS COMMUNITY SCHOOL DISTRICT: PROVIDING SPECIALPROTECTION FOR STUDENT-ATHLETES?The scholarly article I chose was of great interest to me for several reasons. The case is aneducational malpractice case in which a student-athlete said h
Ivy Tech Community College - ENG - 111
Show me the moneyProfessional Athletes do Not Deserve What the EarnWouldn't it be great to make 31.3 million dollars a year and an additional 47 million dollars inendorsements simply to play a game? Michael Jordan, along with many other professionalath
Ivy Tech Community College - ENG - 111
The Varoius Adaptations to Endurance and Strength TrainingPrinciples of training is a necessary instrument that should beapplied to every sport and exercise in order that athletes and teamsin training would have specific training objectives and goals t
Ivy Tech Community College - ENG - 111
The Student as an AthleteThe student athlete is a term often used to describe a member of the student body at aninstitution as well as a member of one of the schools athletic teams. This is not a label thatincludes students who play recreational sports
Ivy Tech Community College - ENG - 111
The Psychological Effects of an InjuryWith every injury it is important to remember that the athlete will be affected mentally. Not allathletes will act identically to the same injury. Although research shows there are factors thatare commonly seen amo
Ivy Tech Community College - ENG - 111
Training of an AthleteWhen training a football player, or any athlete for that matter you want to make sure that theyare not smoking. Smoking is very harmful and addictive to the body and causes increasedairway resistance. When smoking is done it takes
Ivy Tech Community College - ENG - 111
Vince Lombardis statement that winning is the only thing that matters in sport, is one of thetruths that are inherent in the world of sports. Athletes are willing to cheat to guarantee success,either through the use of performance-enhancing drugs, or th
Ivy Tech Community College - ENG - 111
What it Means to be an AthleteA group of high school girls who have all joined a crew team for various reasons. Some areathletes, some want scholarships, some are the right body types, some have never beenathletes, some have friends on the team, and so
UNC Wilmington - PSY - 405
Psychology 405: History and Systems Six Questions: 1.) What is psychology? According to Skinner: Scientific study of behavior. [GENERIC DEFINITION] Central focus on the word SCIENTIFIC, or needing external verification. Gaining good evidence in a systemat
UNC Wilmington - PSY - 405
Getting into Graduate School in PsychologyDavor ZinkWhy do students attend graduate school in psychology?Deep interest in understanding human behavior Thirst for knowledge and discovery Unique opportunity to contribute to the discipline and enhance the
UNC Wilmington - PSY - 405
Beyond Beliefs Running Head: RELIGIOSITY AND GROUP MORALITY1Beyond Beliefs: Religions Bind Individuals into Moral Communities Jesse Graham and Jonathan Haidt University of Virginia October 7, 2009 In Press: Personality and Social Psychology Review Words
UNC Wilmington - PSY - 405
Period Beginning of Written historybooks Da Greeks 470bc hippocrates Socrates Greekscontrasting point of view Naturalistic Account of all diseases - formely sueperstition Scientific approach to behavior Dualism - True Knowledge comes from the Soul Reinc
UNC Wilmington - PSY - 405
University StructureUniversity Structure1. Lecturer/Instructor 2. Assistant Professor 3. Associate Professor 4. Professor 5. Chair 6. Dean 7. Provost 8. Chancellor 9. President of UNCThe Tenure ProcessAssistant Professor, individuals areconsidered fo
UNC Wilmington - STT - 215
Harley Kelly Statistics 215 Homework 1 9/26/11 Given the data on monthly returns from 1988 through 2007 for the Russell 2000 Growth and Value indices, do the following: a. Find the mean, standard deviation and five number summaries for each data set. Russ
Ballarat - MKT - 3301
Chapter 1 Marketing: Managing Profitable Customer Relationships Multiple Choice 1. Marketing seeks to create and manage profitable customer relationships by delivering _ to customers. a. competitive prices b. superior value c. superior service d. superior
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120
Middle East Technical University - MATH - 120