Tutorial on Discrete Probability Distributions Tutorial on discrete probability distributions with examples and detailed solutions. ------------------------------------------------- Top of Form | Web | www.analyzemath.com | | Bottom of Form | | Let X be a random variable that takes the numerical values X1‚ X2‚ ...‚ Xn with probablities p(X1)‚ p(X2)‚ ...‚ p(Xn) respectively. A discrete probability distribution consists of the values of the random variable X and their corresponding
Premium Random variable
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
Premium Conditional probability Monte Carlo method
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
Premium Causality Body
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
Premium Random variable Normal distribution Arithmetic mean
Probability and Statistics Research Project Name: Lakeisha M. Henderson ID: @02181956 Spring 2007 Abstract Table of Contents Principle Component Analysis (PCA) Definition .4 Uses of PCA 5 Illustrative Example of PCA 5 Method to Determine PCA ..6 Basic Analysis of Variance (ANOVA) Purpose and Definition of ANOVA 12 Illustrative Example of ANOVA
Premium Scientific method Statistics Research
HIGHER COLLEGES OF TECHNOLOGY ABU DHABI MEN’S COLLEGE CIS 2003 Assessment 4 – Group Project Programme Name: Bachelor Degree Course Code and Name: CIS 2003 Time Allowed: ( 3 Weeks ) Assessment Number: 4 LO/Goals Covered by this Assessment: 1‚2‚3‚4‚5 Special Instructions: Read the entire Project. No Outside Help is Allowed You are Not Permitted to work with anyone else‚ Inside or Outside the College on the Project‚ other than your fellow group members It must be the Groups Original
Premium Statistics Null hypothesis Standard deviation
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
Premium Probability theory Conditional probability
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
Premium Binomial distribution Poisson distribution Probability theory
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=
Premium Marketing Customer Customer service
NAME: SHU ZHAOHUI ID: 17329164 Q5. Descriptive Statistics | | N | Minimum | Maximum | Mean | Std. Deviation | Skewness | | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Std. Error | Gasolinescore | 1000 | 3.00 | 21.00 | 14.9090 | 4.83654 | -.493 | .077 | Globalscore | 1000 | 3.00 | 21.00 | 17.0490 | 3.78774 | -1.073 | .077 | Valid N (listwise) | 1000 | | | | | | | The mean in the gaslinescore and globalscore stand for the average the respondents choose is
Premium Normal distribution Arithmetic mean Standard deviation