BSP2014 STOCHASTIC Tri 2’ 2012/2013 Mid-Term Exam Question 1 a) A continuous random variable X has the probability density function given by 3 2 ; 0 x2 (2 x) f ( x) 8 0 ; otherwise (i) Calculate the mean of X and variance of X. (ii) Calculate . (iii) Find . b) Given X ~ Exp ( 2) and the moment generating function (MGF) of X is given M X (t ) 2 2t . Find the mean and variance of X. c) Given for x = 1‚ 2‚ 3‚ 4. Find the moment generating
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In 1788 the first fleet disembarked on the shores of Botany Bay. Shortly thereafter Australia became the first colony founded entirely upon the work of convicted felons. The traditional interpretation of the Australian colonies is that‚ it was a period of harsh and brutal forced labor‚ where convicts were treated as human commodities and labor was extracted by punishment. Convicts were subjected to various types of reprimands such as shortened rations‚ leg-irons‚ being placed on treadmills‚ head
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Student Name/Number:___________________ Teacher Name:__________________________ 2011 MID COURSE EXAMINATION Preliminary - YEAR 11 Mathematics Time allowed – Two hours (Plus 5 minutes reading time) DIRECTIONS TO CANDIDATES Attempt ALL questions. ALL questions are of equal value. All necessary working should be shown in every question. Marks may be deducted for careless or badly arranged work. Board-approved calculators may be
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The development of the American colonies had six different factors contributing to it. They were the Enlightenment‚ European population explosion‚ Glorious Revolution‚ Great Awakening‚ mercantilism‚ and Religious tolerance. The Enlightenment was a cultural movement that challenged the authority of the church in science and philosophy while elevating the power of human reason. One of the most influential Enlightenment writers was John Locke. He argued with the church that people were not
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North America‚ not minimum in light of the fact that these colonies guaranteed future riches and were deliberately critical to the sugar‚ tobacco and espresso islands of the Caribbean. By the mid-eighteenth century‚ the British North American colonies were entrenched settlements‚ firmly tied into Atlantic and Caribbean exchanging systems. Albeit religious convictions gave the inspiration to numerous settlers‚ others likewise saw the colonies as a chance to claim their own land‚ work for themselves
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During 1600-1750‚ the explorers from the countries of Europe continue to explore for new countries to populate and riches to export back to their country. Some of the reasons the Europeans felt enhanced to the natives they came upon were their superior technology and different religious beliefs. The civilizations of Asia and the Middle East remained within their natural boundaries because the leaders of Japan‚ China‚ India and the Middle East were comfortable within their countries. New ideas exchanged
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ACTG381 Sample Midterm Midterm 1 Name:_____________________________________________ Part 1: Multiple Choice (25 questions @ 3 pts ea. Suggested time 50 minutes) Use a scantron to fill in the letter corresponding to the “best” answer. 1. Which of the following properly describes a deferral? a. Cash is received after revenue is earned. b. Cash is received before revenue is earned. c. Cash is paid after expense is incurred. d. Cash is paid in the
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ECON1102 MACROECONOMICS 1 Session 2‚ 2012 Tutorial Test (Week 17-21 September) INSTRUCTIONS 1. Tutorial tests will be constructed from the following pool of short-answer questions. 2. Each Tutorial test will be comprised of a sufficient number of short-answer questions to add-up to a total of 20 marks. 3. The marks for each question provide an indication of how much is required to answer the question. 4. Tutorial tests may contain questions on different topics. 5. The set of short-answer
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the terms of society and economy. Both colonies developed their own characteristics based upon the factors of: the economic motivation of the settlers‚ the political and religious motivation of the settlers‚ and the natural resources and climate of the region. Although located in different parts of the Americas they shared similarities and differences. In 1607‚ James I granted a charter for the settlement of Virginia. The first settlement in the Virginia colony was Jamestown on the James River‚ named
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Samuel de Champlain Born in 1574 in a small town on the western coast of france Born a protestant but most likely converted to Catholicism Died in Quebec 1635 on Christmas Day He ventured as far as Spain and the West Indies. He was a geographer for King Henry IV Joined François Gravé Du Pont’s expedition to Canada in 1603 Founded the Canadian city of Quebec on July 3‚ 1608 He is often called the “Father of New France” French explorer‚ navigator‚ cartographer‚ soldier‚ geographer‚ ethnologist
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