How and When to Use Uniform Distribution

There are a number of different probability distributions. Each of these distributions has a specific application and use that is appropriate to a particular setting. These distributions range from the ever-familiar bell curve (aka a normal distribution) to lesser-known distributions, such as the gamma distribution. Most distributions involve a complicated density curve, but there are some that do not. One of the simplest density curves is for a uniform probability distribution. Features of the Uniform Distribution The uniform distribution gets its name from the fact that the probabilities for all outcomes are the same. Unlike a normal distribution with a hump in the middle or a chi-square distribution, a uniform distribution has no mode. Instead, every outcome is equally likely to occur. Unlike a chi-square distribution, there is no skewness to a uniform distribution. As a result, the mean and median coincide. Since every outcome in a uniform distribution occurs with the same relative frequency, the resulting shape of the distribution is that of a rectangle. Uniform Distribution for Discrete Random Variables Any situation in which every outcome in a sample space is equally likely will use a uniform distribution. One example of this in a discrete case is rolling a single standard die. There are a total of six sides of the die, and each side has the same probability of being rolled face up. The probability histogram for this distribution is rectangular shaped, with six bars that each have a height of 1/6. Uniform Distribution for Continuous Random Variables For an example of a uniform distribution in a continuous setting, consider an idealized random number generator. This will truly generate a random number from a specified range of values. So if it is specified that the generator is to produce a random number between 1 and 4, then 3.25, 3, e, 2.222222, 3.4545456 and pi are all possible numbers that are equally likely to be produced. Since the total area enclosed by a density curve must be 1, which corresponds to 100 percent, it is straightforward to determine the density curve for our random number generator. If the number is from the range a to b, then this corresponds to an interval of length b - a. In order to have an area of one, the height would have to be 1/(b - a). For example, for a random number generated from 1 to 4, the height of the density curve would be 1/3. Probabilities With a Uniform Density Curve It is important to remember that the height of a curve does not directly indicate the probability of an outcome. Rather, as with any density curve, probabilities are determined by the areas under the curve. Since a uniform distribution is shaped like a rectangle, the probabilities are very easy to determine. Rather than using calculus to find the area under a curve, simply use some basic geometry. Remember that the area of a rectangle is its base multiplied by its height. Return to the same example from earlier. In this example, X is a random number generated between the values 1 and 4. The probability that X is between 1 and 3 is 2/3 because this constitutes the area under the curve between 1 and 3.

50 Worst Ways to Die - 817 Words

Taken from Maxim (Volume 1, Number 3, 1999): â€Å"The 50 Worst Ways to Die† The following are some ways people were executed in Europe during the time period we are studying. My intent here is not to â€Å"gross you out.† It is not even to shock you. The sad fact is that throughout history, especially in Europe, people have thought of incredibly cruel and barbaric ways to punish those who have committed crimes. This, unfortunately, is part of history. As you are aware, we are currently studying the Renaissance and the continuing development of nation-states. During this time, some monarchs tried to unify their young nations through religion. In Spain, Ferdinand and Isabella imposed the Inquisition on the population. Established in†¦show more content†¦Stuffed with Rodents Where: Rome and Germany When: 1st through 17th centuries Description: The victim was strapped to a table with a pot of rats upended on his stomach. Then a fire was lit atop the cauldron. The rats had no choice but to burrow into the condemned’s stomach. Where else: Central Africans put a tin box filled with fire ants on the victim’s stomach and waited for them to eat their way out. 8. Pulled apart by Horses (â€Å"Drawn and Quartered†) Where: The Caribbean and Europe (of course!) When: 15th century Description: Each of the victim’s appendages was tied to a different horse. Then, the horses were sent in four different directions. With inexact departures, the victim was usually just yanked around until the tormentors gave up and cut off his limbs. Where else: The Renaissance French and Spanish bent over two trees and tied one of the victim’s legs to each. 9. Sawed in Half Where: China, the biblical Middle East, and Europe When: In some European locales, one could still see saws used right up until the 1840s Description: The victim was hung upside down and essentially sawed in half with a two-man saw. 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Never shake / Thy gory locks at me† (3.4. 50-51). He feels so unsecure, and needs some sort of assurance. He proposes the only way he can know his fate was to ask the witches for information.†And betimes I will,Read MoreIntroduction for Abortion843 Words   |  4 PagesThe definition of abortion is the fetus in the uterus if her mother remove / die before the fetus can survive outside the mother uterus the mother uterus , in other ways means the fetus killed accidentally or by some medical ways before its born. There are 2 types of abortion , the 2 types call spontaneous abortion and induced abortion , these two different ways have their own characteristic . SPONTANEOUS ABORTION Spontaneous abortion also call miscarriage abortion , its happen because of accidentalRead MoreEuthanasi Assisted Suicide?1252 Words   |  6 Pagesillegal at this point. â€Å"No human being with a spark of pity could let a living thing suffer so, to no good end. - James Rachel. 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Sociology Syllabus Free Essays

Each chapter has a module quiz associated with it (aside from chapter 9 which is included with Modules 8 and 10; Module 10 also includes chapters 11 and 12). You must take the quizzes in each section prior to taking the exam. In the end, this will benefit you. We will write a custom essay sample on Sociology Syllabus or any similar topic only for you Order Now Please look closely at the attached schedules and due dates. You will be responsible for keeping these commitments. You may complete the course as quickly as you like, as long as you abide by the due dates. Exams and Assignments Exams: There will be a total of three exams: two exams will be worth 100 points each and the final exam will be worth 120 points. Exams will cover material from the assigned online modules, quizzes, lectures, class discussions and experiential learning exercises. The exams will be administered totally online and will consist of multiple choice questions. The dates and material covered by each exam is set forth in the course outline located at the end of this document. To encourage students to master the material before testing, all exams will be timed. Students will be given 50 minutes to complete each exam. Please note that you will only be permitted to â€Å"move forward† during an exam. You may not skip a question and return to it later, or answer it and later try to change your answer after you have saved your response. Please be advised that the order of the exam questions will vary for each student. Quizzes: You must complete the assigned online modules in order to successfully omplete the class. At the end ot each module, you must successtully complete a 1 question multiple choice quiz by answering at least 7 questions correctly. You may repeat each quiz as many times as you wish to achieve the desired score; however, you will be required to wait at least one hour before repeating the quiz. All quizzes will be timed. You will be allowed 10 minutes to complete each quiz. Students who fail to correctly answer a minimum of 7 questions or who do not complete the quizzes during the assigned time period will receive a zero. Please note that no make-up quizzes will be given. Reflection Paper: Identifying how and why we behave and why we have certain attitudes and beliefs can be a daunting task. During the semester, students will be asked to reflect on their beliefs related toa topic. The reflection paper will be worth 25 points. Please note that students will be penalized one letter grade for poorly written work (please proofread). Specific instructions for each paper will be posted on Blackboard. Survey Completion: Twice during the semester, students will have the opportunity to express their beliefs and opinions about a specific topic by completing a brief, online urvey. These surveys will give students the opportunity to compare their views with those of their classmates in a non-threatening and anonymous way. While student responses will not be â€Å"graded,† students will be required to complete the surveys within the time provided. Please note that no make-up surveys will be given. Each survey is worth 10 points. https://donemyessay.com/sociology-exam-3-chapters-6-8/ Attendance As an online class students are responsible for completing all quizzes, exams, and assignments in a timely fashion. Assignments must be completed by the noted date. Students who are unable to complete an assignment in a given time period is ncouraged to contact the professor as soon as possible. The professor is likely to be more accommodating prior to a missed assignment versus afterwards. Grade Calculation Final grades will be determined through the use ofa point system. The maximum value of each exam and assignment along with the range of points associated with each letter grade are listed in the tables below. How to cite Sociology Syllabus, Papers

Business Project Management Of Stakeholders - Myassignmenthelp.Com

Question: Discuss about the Business Project Management Of Stakeholders. Answer: Western Australia is one of the most important stakeholders for the business and the urgency to bring back its Storage Tank online can be well understood. Since the tank has to receive 4 million liters of aviation fuel, a new and updated project plan has to be put in place in order to make the tank ready within the 3-week deadline. This decision will require extra effort and time from the project engineers and developers so that the functional aspects of the storage tank will not be compromised in any manner (Burke, 2013). The biggest challenge that the project team will face is due to the limited availability of time to make the tank operate effectively. Its enormous size makes the inspection aspect slightly challenging for the team. But the best technical models and professionals will be assigned to work on the project so that all the key areas of the tank can be thoroughly checked within the stipulated time frame. Since high regard is given to the quality of service delivery, the involvement of a significant number of workers on the storage tank project is a possibility (Kerzner, 2013). Due to the urgency of the business situation of Western Australia, the best and most effective inspection technique will be applied so that the business does not suffer financial damage. In order to tackle the project issue, the most competent members will be asked to study the unique specifications of the model so that the chances of error during testing can be effectively managed by the project team. Storing of 4 million liters of fuel is quite a large quantity so; after the technical mechanisms are conducted a dummy test would be carried out just to check that there is no possibility of a leak in the storage tank (Larson Gray, 2013). If such a scenario arises then the problem area would be identified and it would be altered and corrected using the updated technical models so that in the real life scenario such a situation can be prevented. After the test and corrective measures are taken, the key members of the project will have to make a report on the internal specifications. It is a regular checking mechanism that is followed by the team to identify any undetected issue in the model. At the final stage, a second testing of the storage tank would be carried out so that all the areas of the project work can be assessed a final time to ascertain its capability to store a high quantity of aviation fuel. It might be difficult to accommodate the changes in the master schedule that you originally planned for the tank of Western Australia, but due to the seriousness of the situation, the planning of the specific project would be restructured so that the desired objective of bringing the storage tank online can be accomplished (Schwalbe, 2015). Best models will be implemented in the task to identify the possibility of any storage flaw in advance so that once it goes online, it can effectively function to store large quantities of fuel. References Burke, R. (2013). Project management: planning and control techniques.New Jersey, USA. Kerzner, H. (2013).Project management: a systems approach to planning, scheduling, and controlling. John Wiley Sons. Larson, E. W., Gray, C. (2013).Project Management: The Managerial Process with MS Project. McGraw-Hill. Schwalbe, K. (2015).Information technology project management. Cengage Learning.