Discrete Review Game. About 25% of those called for jury duty will find an excuse (work, poor health, travel, etc.) to avoid jury duty. If 12 people are.

Slides:



Advertisements
Similar presentations
© The McGraw-Hill Companies, Inc., Chapter 4 Discrete Probability Distributions.
Advertisements

Chapter 7 Special Discrete Distributions. Binomial Distribution B(n,p) Each trial results in one of two mutually exclusive outcomes. (success/failure)
BINOMIAL AND NORMAL DISTRIBUTIONS BINOMIAL DISTRIBUTION “Bernoulli trials” – experiments satisfying 3 conditions: 1. Experiment has only 2 possible outcomes:
The Binomial Distribution
Review of Basic Probability and Statistics
Mean, Variance, and Standard Deviation
Chapter 5 Discrete Probability Distribution I. Basic Definitions II. Summary Measures for Discrete Random Variable Expected Value (Mean) Variance and Standard.
McGraw-Hill/IrwinCopyright © 2009 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 4 and 5 Probability and Discrete Random Variables.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Discrete Random Variables Chapter 4.
©The McGraw-Hill Companies, Inc. 2008McGraw-Hill/Irwin Probability Distributions Chapter 6.
CHAPTER 5 Binomial and Poisson Probability Distributions.
Binomial distribution Nutan S. Mishra Department of Mathematics and Statistics University of South Alabama.
Poisson Random Variable Provides model for data that represent the number of occurrences of a specified event in a given unit of time X represents the.
Discrete Probability Distributions
Copyright © 2015 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 C H A P T E R F I V E Discrete Probability Distributions.
Unit 5 Section 5-4 – Day : The Binomial Distribution  The mean, variance, and standard deviation of a variable that has the binomial distribution.
WARM – UP A college basketball player has an 82% probability of making Free throws. During a typical game he usually attempts 12 free throws. Find: 1.The.
Chapter 5.1 Probability Distributions.  A variable is defined as a characteristic or attribute that can assume different values.  Recall that a variable.
Random Variables. A random variable X is a real valued function defined on the sample space, X : S  R. The set { s  S : X ( s )  [ a, b ] is an event}.
Population distribution VS Sampling distribution
Binomial Experiment A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Chapter 5 Discrete Random Variables.
McGraw-Hill/IrwinCopyright © 2009 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 5 Discrete Random Variables.
Discrete Probability Distributions Chapter 06 McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved.
 5-1 Introduction  5-2 Probability Distributions  5-3 Mean, Variance, and Expectation  5-4 The Binomial Distribution.
King Saud University Women Students
© The McGraw-Hill Companies, Inc., Chapter 6 Probability Distributions.
1 Since everything is a reflection of our minds, everything can be changed by our minds.
6.3 THE CENTRAL LIMIT THEOREM. DISTRIBUTION OF SAMPLE MEANS  A sampling distribution of sample means is a distribution using the means computed from.
Stat 13 Lecture 19 discrete random variables, binomial A random variable is discrete if it takes values that have gaps : most often, integers Probability.
Chapter 5 Discrete Probability Distributions. Introduction Many decisions in real-life situations are made by assigning probabilities to all possible.
Definition A random variable is a variable whose value is determined by the outcome of a random experiment/chance situation.
Graph of a Binomial Distribution Binomial distribution for n = 4, p = 0.4:
Discrete Review Game. About 25% of those called for jury duty will find an excuse (work, poor health, travel, etc.) to avoid jury duty. If 12 people are.
Elementary Statistics Discrete Probability Distributions.
Chapter 7 Special Discrete Distributions. Binomial Distribution Each trial has two mutually exclusive possible outcomes: success/failure Fixed number.
1 7.3 RANDOM VARIABLES When the variables in question are quantitative, they are known as random variables. A random variable, X, is a quantitative variable.
Discrete Review Game. About 25% of those called for jury duty will find an excuse (work, poor health, travel, etc.) to avoid jury duty. If 12 people are.
Chapter 7 Special Discrete Distributions. Binomial Distribution B(n,p) Each trial results in one of two mutually exclusive outcomes. (success/failure)
Business Statistics, A First Course (4e) © 2006 Prentice-Hall, Inc. Chap 5-1 Chapter 5 Some Important Discrete Probability Distributions Business Statistics,
Probability Distribution. Probability Distributions: Overview To understand probability distributions, it is important to understand variables and random.
Chapter 5 Discrete Probability Distributions. Overview Introduction O 5-1 Probability Distributions O 5-2 Mean, Variance, Standard Deviation, and Expectation.
PROBABILITY DISTRIBUTIONS. Probability Distribution  Suppose we toss a fair coin 3 times. What is the sample space?  What is the probability for each.
Discrete Probability Distributions Chapter 4. § 4.3 More Discrete Probability Distributions.
Discrete Probability Distributions Chapter 5 1. Chapter 5 Overview 2 Introduction 5-1 Probability Distributions 5-2 Mean, Variance, Standard Deviation,
©The McGraw-Hill Companies, Inc. 2008McGraw-Hill/Irwin Probability Distributions Chapter 6.
Probability Distributions
Probability Distributions
Chapter 5 Created by Bethany Stubbe and Stephan Kogitz.
WARM – UP – Calculator There is a 22% chance of making a “5” on the AP Statistics Exam. In a class of 30, what is the probability that… …half of the class.
Binomial and Geometric Random Variables
Special Discrete Distributions
5.2 Mean, Variance, Standard Deviation, and Expectation
Discrete Probability Distributions
Random Variables Review Game
Discrete Review Game.
Special Discrete Distributions
Special Discrete Distributions
Bluman, Chapter 5.
DISCRETE RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS
Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls.
Discrete Random Variables
Chapter 4 Discrete Probability Distributions.
DISCRETE RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS
Discrete Review Game.
Ch. 6. Binomial Theory.
Probability Distributions
Special Discrete Distributions
Binomial Distribution
Presentation transcript:

Discrete Review Game

About 25% of those called for jury duty will find an excuse (work, poor health, travel, etc.) to avoid jury duty. If 12 people are called, what is the probability that less than 6 will not be available to serve? P(X < 6) =.9456 Binomial

A survey of families in Statsylvania found that 12% of the households had not motor vehicles, 36% had one vehicle, 33% had two vehicles, 18% had three vehicles, and 1% had four vehicles. Find the mean and standard deviation for this distribution.  = 1.6 &  =.95 Random

The EPA reports that 81% of Americans do not recycle garbage. If 6 Americans are randomly selected, find the probability that at least two of them recycle. P(X > 2) =.3201 Binomial

One airline has found that 9% of the people who make reservations do not show. If the airline has accepted 220 reservations for a plane that has 210 seats, what is the probability that there are enough seats for all the passengers who show up? P(X < 210) =.9959 Binomial

An experiment consists of tossing a coin 10 times. What is the probability that the first head will occur on the fourth toss? P(X = 4) =.0625 Geometric

According to the US Census Bureau, about 22% of American children under the age of 6 live in households with incomes below the official poverty level. A random sample of 400 children under the age of 6 is taken. What are the mean and standard deviation of children in the sample who come from households with incomes below the official poverty level?  = 88 &  = 8.28 Binomial

The probability that a student is tardy to Statistics class is (They just can ’ t wait to come to class!) How many students should Mrs. Fritz expect to see before the first one is tardy?  = Geometric

ART receives an average of 1.2 orders an hour for rat traps; if they hold 14 rat traps in inventory, what is the probability that on any given eight-hour day they will be unable to ship all the traps for which they receive orders? Poisson P(X >14) =.0643