Basic concepts in probability

Slides:



Advertisements
Similar presentations
Probability and the Binomial
Advertisements

Lecture 4 PY 427 Statistics 1 Fall 2006 Kin Ching Kong, Ph.D
Psychology 10 Analysis of Psychological Data February 26, 2014.
© aSup Probability and Normal Distribution  1 PROBABILITY.
Chapter 6 Section 1 Introduction. Probability of an Event The probability of an event is a number that expresses the long run likelihood that an event.
Probability & Using Frequency Distributions Chapters 1 & 6 Homework: Ch 1: 9-12 Ch 6: 1, 2, 3, 8, 9, 14.
6-2 The Standard Normal Distribution
Chapter 11: Random Sampling and Sampling Distributions
Ibrahim Altubasi, PT, PhD The University of Jordan
Chapter 6: Probability.
COURSE: JUST 3900 INTRODUCTORY STATISTICS FOR CRIMINAL JUSTICE Instructor: Dr. John J. Kerbs, Associate Professor Joint Ph.D. in Social Work and Sociology.
Introductory Statistics for Laboratorians dealing with High Throughput Data sets Centers for Disease Control.
Standardized Score, probability & Normal Distribution
Probability Quantitative Methods in HPELS HPELS 6210.
Probability & the Normal Distribution
Chapter 6 Probability PowerPoint Lecture Slides Essentials of Statistics for the Behavioral Sciences Eighth Edition by Frederick J. Gravetter and Larry.
1 Chapter 6. Section 6-1 and 6-2. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION.
Population All members of a set which have a given characteristic. Population Data Data associated with a certain population. Population Parameter A measure.
Chapter 7 Estimates and Sample Sizes
Chapter 6 Probability. Introduction We usually start a study asking questions about the population. But we conduct the research using a sample. The role.
Copyright © 2012 by Nelson Education Limited. Chapter 4 The Normal Curve 4-1.
Measures of Dispersion & The Standard Normal Distribution 2/5/07.
Chapter 9: The Origins of Genetics. Probability Likelihood that a specific event will occur Likelihood that a specific event will occur Can be expressed.
Section 5.1 Discrete Probability. Probability Distributions x P(x)1/4 01/83/8 x12345 P(x)
Chapter 3b (Normal Curves) When is a data point ( raw score) considered unusual?
Introduction to Statistics Chapter 6 Feb 11-16, 2010 Classes #8-9
§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.
1 Chapter 6. Section 6-1 and 6-2. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION.
CY1B2 Statistics1 (ii) Poisson distribution The Poisson distribution resembles the binomial distribution if the probability of an accident is very small.
+ Chapter 2: Modeling Distributions of Data Section 2.2 Normal Distributions The Practice of Statistics, 4 th edition - For AP* STARNES, YATES, MOORE.
The Standard Normal Distribution Section Starter Weights of adult male Norwegian Elkhounds are N(42, 2) pounds. What weight would represent the.
Section 5.1 Discrete Probability. Probability Distributions x P(x)1/4 01/83/8 x12345 P(x)
Probability, Sampling, and Inference Q560: Experimental Methods in Cognitive Science Lecture 5.
Describing a Score’s Position within a Distribution Lesson 5.
 Probability is the likelihood or chance of an event occurring  Probability can be calculated by: Favourable outcomes Possible outcomes Probabilities.
Discrete and Continuous Random Variables Section 7.1.
Chapter 6: Probability. Probability Probability is a method for measuring and quantifying the likelihood of obtaining a specific sample from a specific.
Predicting Outcomes Using Probability Lines & Writing Probabilities
Mathematics Department
Chapter 3 Probability.
Probability…What is it?
Probability Predictions Ch. 1, Act. 5.
Finding Percentages with z-scores
Probability Probability is a measure of how likely it is that an event will occur. Probability can be expressed as a fraction, decimal, or percent.
INTRODUCTORY STATISTICS FOR CRIMINAL JUSTICE
Probability of Independent Events
The Statistical Imagination
AP Statistics Empirical Rule.
AND.
Describing Location in a Distribution
Probability.
Probability.
Warmup What is the height? What proportion of data is more than 5?
CONTINUOUS RANDOM VARIABLES AND THE NORMAL DISTRIBUTION
Analysis and Interpretation of Experimental Findings
Chapter 4 Section 1 Probability Theory.
5.3 Normal Distributions: Finding Values
Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.
4/29/13 Have out: Bellwork: assignment, graphing calculator,
Section 12.2 Theoretical Probability
Introduction to Probability
Section 12.2 Theoretical Probability
6th Grade Math Vocab Probability (Terms 19-23).
Chapter 6: Probability.
Warmup Normal Distributions
Section 12.2 Theoretical Probability
Chapter 3 Probability.
Chapter 3 Probability.
Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.
Presentation transcript:

Basic concepts in probability

Basic Probability The likelihood (expressed as a fraction, proportion, or percentage) that a specific event will occur Common definition: p (A)=number of ways A can occur (#A) total number of outcomes (#O)

Simple Probability What is the probability of obtaining an ace from a deck of cards? Out of an entire deck of cards, what proportion are aces?

Relative Frequency Is Equivalent To Probability Grade Frequency Relative Frequency 9 2 0.06 8 6 0.19 7 5 0.16 3 0.09 4 1 0.00

Probability and the Normal Distribution The equation is

Normal Distribution The percentages of scores that fall in each of these sections

Example Adult height normally distributed = 68 inches, = 6 inches What percentage of people are taller than 80 inches? P(X>80) = ?

What proportion of the normal distribution corresponds to z-score values greater than z=+1.00