Memorandum Subject: Regression to the Mean with Coin Flips This paper discusses the statistics project‚ Regression to the Mean with Coin Flips. The paper is divided into four parts‚ which are summarized below: Part One: The Questionnaires This section summarizes the results of questionnaires handed out to a random sample of 110 people. Pie charts are provided‚ which reflect the responses to each question. Part Two: 200 Flips This section discusses the outcome of flipping a normal coin two-hundred
Premium Arithmetic mean Two-Face Normal distribution
Tutorial 07: Solutions Part A: For all your answers‚ please remember to do the following: 1. Draw curves 2. State the distribution 3. Define the variable A7.1 An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed‚ with mean µ = 117 cm and standard deviation σ = 2.1 cm. If the machine is operating correctly: Let X = variable length of subcomponent (cm). Then if the machine is operating correctly‚ X ~ N (117‚ 2.12
Premium Normal distribution Standard deviation Probability theory
Examining Stock Returns for Normal Distributions July11‚ 2012 Part A. A1 (CRSP 2000-2008) | VW Daily | EW Daily | VW Monthly | EW Monthly | Mean | 0.00% | 0.05% | -0.12% | 0.50% | σ | 1.35% | 1.12% | 4.66% | 6.14% | Table A1 shows return means and standard deviations for the CRSP market portfolio from 2000-2008. In comparing daily vs monthly returns in both cases‚ equally weighted (EW) and value weighted (VW)‚ Table A1 shows the mean and standard deviation are
Premium Normal distribution Standard deviation Dow Jones Industrial Average
n calculus‚ Rolle’s theorem essentially states that a differentiable function which attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero. ------------------------------------------------- Standard version of the theorem [edit] If a real-valued function f is continuous on a closed interval [a‚ b]‚ differentiable on the open interval (a‚ b)‚ and f(a) = f(b)‚ then there
Premium Calculus Derivative Function
PYTHAGOREAN THEOREM More than 4000 years ago‚ the Babyloneans and the Chinese already knew that a triangle with the sides of 3‚ 4 and 5 must be a right triangle. They used this knowledge to construct right angles. By dividing a string into twelve equal pieces and then laying it into a triangle so that one side is three‚ the second side four and the last side five sections long‚ they could easily construct a right angle. A Greek scholar named Pythagoras‚ who lived around 500 BC‚ was also fascinated
Premium Pythagorean theorem Triangle
Richard C. Carrier‚ Ph.D. “Bayes’ Theorem for Beginners: Formal Logic and Its Relevance to Historical Method — Adjunct Materials and Tutorial” The Jesus Project Inaugural Conference “Sources of the Jesus Tradition: An Inquiry” 5-7 December 2008 (Amherst‚ NY) Table of Contents for Enclosed Document Handout Accompanying Oral Presentation of December 5...................................pp. 2-5 Adjunct Document Expanding on Oral Presentation.............................................pp. 6-26
Free Conditional probability Jesus
170 CHAPTER 5. RECURSION AND RECURRENCES 5.2 The Master Theorem Master Theorem In the last section‚ we saw three different kinds of behavior for recurrences of the form aT (n/2) + n if n > 1 d if n = 1. T (n) = These behaviors depended upon whether a < 2‚ a = 2‚ and a > 2. Remember that a was the number of subproblems into which our problem was divided. Dividing by 2 cut our problem size in half each time‚ and the n term said that after we completed our recursive work‚ we had n
Premium Integer Real number
UNIT 2 THEOREMS Structure 2.1 Introduction Objectives PROBABILITY 2.2 Some Elementary Theorems 2.3 General Addition Rule 2.4 Conditional Probability and Independence 2.4.1 Conditional Probability 2.4.2 Independent Events and MultiplicationRule 2.4.3 Theorem of Total Probability and Bayes Theorem 2.5 Summary 2.1 INTRODUCTION You have already learnt about probability axioms and ways to evaluate probability of events in some simple cases. In this unit‚ we discuss ways to evaluate
Premium Probability theory Conditional probability
pressure dynamics specified by Bernoulli’s Principle to keep their rare wheels on the ground‚ even while zooming off at high speed. It is successfully employed in mechanism like the carburetor and the atomizer. The study focuses on Bernoulli’s Theorem in Fluid Application. A fluid is any substance which when acted upon by a shear force‚ however small‚ cause a continuous or unlimited deformation‚ but at a rate proportional to the applied force. As a matter of fact‚ if a fluid is moving horizontally
Premium Fluid dynamics Energy Force
The Coase Theorem In “The Problem of Social Cost‚” Ronald Coase introduced a different way of thinking about externalities‚ private property rights and government intervention. The student will briefly discuss how the Coase Theorem‚ as it would later become known‚ provides an alternative to government regulation and provision of services and the importance of private property in his theorem. In his book The Economics of Welfare‚ Arthur C. Pigou‚ a British economist‚ asserted that the existence
Premium Externality Market failure Welfare economics