2010 Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Key Words: subjective probability‚ confidence‚ belief‚ frequency‚ verbal expression Abstract There are everyday expressions such that ’probably’; ’might be’;’could be’ etc.‚ to describe the strengths of one’s confidence in the occurrence of events in the future. On the other hand there are probability theory expressions
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Probability distribution Definition with example: The total set of all the probabilities of a random variable to attain all the possible values. Let me give an example. We toss a coin 3 times and try to find what the probability of obtaining head is? Here the event of getting head is known as the random variable. Now what are the possible values of the random variable‚ i.e. what is the possible number of times that head might occur? It is 0 (head never occurs)‚ 1 (head occurs once out of 2 tosses)
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Probability theory Probability: A numerical measure of the chance that an event will occur. Experiment: A process that generates well defined outcomes. Sample space: The set of all experimental outcomes. Sample point: An element of the sample space. A sample point represents an experimental outcome. Tree diagram: A graphical representation that helps in visualizing a multiple step experiment. Classical method: A method of assigning probabilities that is appropriate when all the experimental
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Conditional Probability How to handle Dependent Events Life is full of random events! You need to get a "feel" for them to be a smart and successful person. Independent Events Events can be "Independent"‚ meaning each event is not affected by any other events. Example: Tossing a coin. Each toss of a coin is a perfect isolated thing. What it did in the past will not affect the current toss. The chance is simply 1-in-2‚ or 50%‚ just like ANY toss of the coin. So each toss is an Independent
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M227 Chapter 1 Nature of Probability and Statistics OBJECTIVES Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Identify types of data. Identify the measurement level for each variable. Identify the four basic sampling techniques. Explain the difference between an observational and an experimental study. Explain how statistics can be used and misused. Explain the importance of computers and calculators in statistics. Statistics is the science
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be able to ONEDefine probability. TWO Describe the classical‚ empirical‚ and subjective approaches to probability. THREEUnderstand the terms experiment‚ event‚ outcome‚ permutation‚ and combination. FOURDefine the terms conditional probability and joint probability. FIVE Calculate probabilities applying the rules of addition and multiplication. SIXUse a tree diagram to organize and compute probabilities. SEVEN Calculate a probability using Bayes theorem. What is probability There is really no answer
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Probability Paper David E. Nelson QNT/561 February 14‚ 2013 Professor Minh Bui Probability Paper My friends suggested that we take a hiking trip through South America this year. The reason for such a trip was to celebrate 16 years of close friendship. The four of us had known each other since we were in middle school and have since become inseparable. Even though we all lead very different lives and have even started our own families‚ we always manage to find time to spend with each other
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Relative Density Laboratory Report Jessica Manansala‚ Nathaniel Martinez‚ Maria Pacia‚ Jeanelle Pedrigal‚ Miguel Poblete Department of Math and Physics College of Science‚ University of Santo Tomas España‚ Manila Philippines Abstract The experiment would introduce us to 3 concepts‚ namely‚ the definition of relative density‚ the Archimedes principle and the determination of density by the Archimedes principle. In the first activity‚ we were tasked with finding the density of a cylinder
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Objective: The purpose of experiment of density determination is to determine the densities of regularly shaped object and irregular shaped solids as well liquids. Density equal mass over volume. Materials Used: Materials used in this experiment was a regular shaped object and irregular shaped object and a ruler to take the measurements of the object. A graduated cylinder and electric beam balance were used to measure the volumes and masses of the object. As well 5-20% concentrated were
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INTRODUCTION 1.1 Background of the Experiment Mass density describes how heavy an object is. Defined by the Greek letter ρ‚ read as rho‚ density is a basic yet important physical property of matter. For a bulk body without accounting its existing pores and voids‚ density is represented by the ratio of its mass and volume. It is given by the equation ρ= massvolume 1. The SI unit of density is kg/m3. However‚ its CGS units‚ g/cm3 or g/ mL‚ are the most commonly used ones in the laboratory. The
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