Probability Concepts 1. Fundamental Concepts of Probability 2. Mutually Exclusive and Collectively Exhaustive 3. Statistically Independent and Dependent Events 4. Bayes’Theorem Learning Objectives • Understand the basic foundations of probability analysis • Learn the probability rules for conditional probability and joint probability • Use Bayes’ theorem to establish posterior probabilities Reference: Text Chapter 2 Introduction • Life is uncertain; we are note sure what the
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MGT 601: Statistical Inference Lecture 03 Dr. MUMTAZ AHMED Objectives of Current Lecture In the current lecture: Introduction to Probability Definition and Basic concepts of probability Some basic questions related to probability Laws of probability Conditional probability Independent and Dependent Events Related Examples 2 Probability Probability (or likelihood) is a measure or estimation of how likely it is that something will happen or that a statement is true. For example
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Title: Density‚ Alcohol Content and the Archimedes Principle (Performed 09/11/13) Report submitted by: Purpose: Part I was to examine three different objects of the same material in order to identify the type of metal. We used the water displacement method and the buoyancy method according to Archimedes Principle. Part II was to find the density of ethanol by mass. We used a 25.0mL graduated cylinder and a 25.00mL volumetric flask to measure the volume. We used two different pieces of glassware
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2014 Period 4 Lab #1: Density Determinations for Solutions Theory: The density of a sample of matter is very useful when trying to find the identity of an unknown substance. The units of density are quoted in (g/mL) for liquid samples of matter. For that reason if the volume is known of a liquid‚ determining its density is easily determined by weighing it accurately. Density can also be used as a tool for finding the concentration of solutions in some cases. The density is different in a substance
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Expirement 1 Fluid Properties: Density and Surface Tension Table of Contents: OBJECTIVE 1 THEORY 2-3 PROCEDURE 4-6 RESULTS 7-8 DISCUSSION AND CONCLUSION 9 APPENDIX 10 OBJECT: The object of this experiment was to determine the density of a fluid by performing three different methods and use that determined density to calculate the surface tension of the fluid. THEORY: The density of any substance is defined as the mass per unit volume and is denoted by ρ. ρ = m / V (1) m is the mass
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Constant Density: Displacement of Zinc and Tin Introduction: Density is the concentration of molecules within an object on relation to its size. The formula for measuring density is mass/volume. In the experiment preformed for this lab report‚ calculating the density of a regular object (a wooden block) and two other irregular objects (zinc and tin) were found by a process known as water displacement. The purpose of this experiment was to prove that the density of an object remains the same
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variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of observations‚ which gives each observation equal weight‚ the mean of a random variable weights each outcome xi according to its probability‚ pi. The mean also of a random variable provides the long-run average of the variable‚ or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X) is ‚ formally defined by Variance
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Week Four Discussion 2 1. In your own words‚ describe two main differences between classical and empirical probabilities. The differences between classical and empirical probabilities are that classical assumes that all outcomes are likely to occur‚ while empirical involves actually physically observing and collecting the information. 2. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not
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Mathematical Systems Probability Solutions by Bracket A First Course in Probability Chapter 4—Problems 4. Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! possible rankings are equally likely. Let X denote the highest ranking achieved by a woman (for instance‚ X = 1 if the top-ranked person is female). Find P X = i ‚ i = 1‚ 2‚ 3‚ . . . ‚ 8‚ 9‚ 10. Let Ei be the event that the the ith scorer is female. Then the
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EXPERIMENT-1 DENSITY OF LIQUIDS PREPARED BY BURAK COBAN PURPOSE: In this experiment we will learn how can we find the density of liquids and liquids of density how change effect of temperature‚ pressure‚ mass‚ volume and concentration. For this reason we will take NaCI solutions with different concentrations and we will measure their densities‚ so we will find out the effects of concentration on density of solutions. THEORY: Density is a physical property
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