Chapter 3 Probability Distributions 1. Based on recent records‚ the manager of a car painting center has determined the following probability distribution for the number of customers per day. Suppose the center has the capacity to serve two customers per day. |x |P(X = x) | |0 |0.05 | |1 |0.20 | |2 |0.30 | |3 |0.25 | |4 |0.15 | |5 |0.05 | a. What is the probability that one
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Probable Probability; Rolling Dice Statistics is based upon based upon common sense and logic‚ in a complex data. Probability is just one of the many topics in statistical mathematics. It is used in our daily life‚ all over the world. Even games‚ require taking a chance and using probability to determine the predicted outcomes. Probability is the measure of how often a particular event will happen if something is done repeatedly‚ (596 Webster’s Dictionary). You cannot determine
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Probability Theory and Game of Chance Jingjing Xu April 24‚ 2012 I. INTRODUCTION Probability theory is the mathematical foundation of statistics‚ and it can be applied to many areas requiring large data analysis. Curiously‚ that the study on probability theory has its root in parlor games and gambling. In 17th century‚ dice gambling was a very common entertainment among the upper class. An
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Bayesian Probabilistic Matrix Factorization using Markov Chain Monte Carlo Ruslan Salakhutdinov rsalakhu@cs.toronto.edu Andriy Mnih amnih@cs.toronto.edu Department of Computer Science‚ University of Toronto‚ Toronto‚ Ontario M5S 3G4‚ Canada Abstract Low-rank matrix approximation methods provide one of the simplest and most effective approaches to collaborative filtering. Such models are usually fitted to data by finding a MAP estimate of the model parameters‚ a procedure that can be
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of Hume’s (1748) An Enquiry Concerning Human Understanding. Namely‚ section six‚ Of Probability‚ and‚ section seven‚ Of the Idea of Necessary Connexion‚ focusing on the text’s key points. Hume starts section six by asserting that there is no such thing as chance in the world. Instead‚ it is our ignorance of the causes of events that lead us to believe in chance. Nevertheless‚ Hume posits that there is probability‚ that is‚ a greater chance of something taking place than a contrary. Here‚ Hume uses
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Homework 3 Probability 1. As part of a Pick Your Prize promotion‚ a store invited customers to choose which of three prizes they’d like to win. They also kept track of respondents’ gender. The following contingency table shows the results: | MP3 Player | Camera | Bike | Total | Men | 62 | 117 | 60 | 239 | Woman | 101 | 130 | 30 | 261 | Total | 163 | 247 | 90 | 500 | What is the probability that: a. a randomly selected customer would pick the camera? 247/500= 0.494=
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t) P (X > s + t) P (X > t) e−λ(s+t) e−λt e−λs P (X > s) – Example: Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes‚ λ = 1/10. What is the probability that a customer will spend more than 15 minutes in the bank? What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes? Solution: P (X > 15) = e−15λ = e−3/2 = 0.22 P (X > 15|X > 10) = P (X > 5) = e−1/2 =
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------------------------------------------------- ------------------------------------------------- Research Paper ------------------------------------------------- THE PROBABILITY OF FINANCIAL CRISIS IN THE USA IN 2012-2013 ------------------------------------------------- Ilias Habbasov ------------------------------------------------- ------------------------------------------------- BBA course submitted to Elżbieta Jendrych‚ PhD on 3 December 2012 Winter Semester 2012/2013
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EXERCISES (Discrete Probability Distribution) EXERCISES (Discrete Probability Distribution) P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x 1. 2. 3. The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive. The probability that a log-on to the network is successful is 0.87. Ten users
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or statement is true or false. __F__ 1. Two events that are independent cannot be mutually exclusive. __F__ 2. A joint probability can have a value greater than 1. __F__ 3. The intersection of A and Ac is the entire sample space. __T__ 4. If 50 of 250 people contacted make a donation to the city symphony‚ then the relative frequency method assigns a probability of .2 to the outcome of making a donation. __T__ 5. An automobile dealership is waiting to take delivery of nine new cars
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