*Probability*** distribution**
Definition with

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_____
1. ** What** is mean, variance and expectations?
Mean - The mean of a discrete random

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we cannot always use the normal approximation to ** binomial**.
Solution:
If a sample is n>30, we can say that sample size is sufficiently large to assume normal approximation to

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are infected. ** What** is the

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EXERCISES (Discrete *Probability*** Distribution**)
EXERCISES (Discrete

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Assignment
Q1Find the parameters of *binomial*** distribution** when mean=4 and variance=3.
Q2. The output of a production process is 10% defective.

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Classify the following random ** variable** as to whether it is discrete or continuous.
1) The number of runs scored in a baseball game.
A) continuous B) discrete Ans = B
2) The cost of a road map.
A) continuous B) discrete Ans = B
Provide an appropriate response.
3) A random

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Tutorial on Discrete *Probability*** Distributions**
Tutorial on discrete

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Poisson ** distribution** is a discrete

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The *Binomial*** Distribution**
October 20, 2010
The

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*PROBABILITY*** DISTRIBUTION**
In the world of statistics, we are introduced to the concept of

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MATH 107 NAME:_______________________
EXAM 2
Show all work for credit and keep answers exact when possible.
1. Classify the following statement as an ** example** of classical, empirical, or subjective

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NORMAL ** DISTRIBUTION**
1. Find the

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CHAPTER 3: *PROBABILITY*** DISTRIBUTION**
3.1
RANDOM

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** BINOMIAL** THEOREM :
AKSHAY MISHRA
XI A , K V 2 , GWALIOR
In elementary algebra, the

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Unit 6. Normal ** Distribution**
Solution to problems
Statistics I. International Group Departamento de Economa Aplicada Universitat de Valncia
May 20, 2010
Problem 35
Random

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PGEG371: Data Analysis & Geostatistics
Normal ** Distributions**
Laboratory Exercise # 3
1st and 5th February, 2015
Read through this instruction sheet then answer the ‘pre-Lab’ quiz BEFORE starting the exercises!
1. Aim
The purpose of this laboratory exercise is to use a Normal

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AAOC ZC111
: ** Probability** and Statistics
Course E-mail address : aaoczc111@dlpd.bits-pilani.ac.in
Course Description

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Important Discrete
*Probability*** Distributions**
5-1
Chapter Goals
After completing this chapter, you should be able
to:
Interpret the mean and standard deviation for a
discrete

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for the *Binomial*** Distribution**
P(S) The symbol for the

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** Binomial**, Bernoulli and Poisson

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North Star Concert North Star.xls Best Guess, Worst Case, Best Case; and Continuous Uncertainties
3 Engine Services, Inc.
Quick Start Guide to Crystal Ball
Analyzing Uncertainty, *Probability*** Distributions**, and Simulation Learning Module: Crystal Ball Litigate Demo
Engine Services.xls Language of

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at random. ** What** is the

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Chapter 3 *Probability*** Distributions**
1. Based on recent records, the manager of a car painting center has determined the following

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Modelling 2
Week 3: Discrete Random ** Variables**
Stephen Bush Department of Mathematical Sciences
MM2: Statistics
- Week 3 -
1
Random

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The T-** Distribution** and T-Test
“In

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Normal ** Distribution**
Normal

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Descriptive Statistics and *Probability*** Distribution** Problem Sets
Emily Noah
QNT561
Anthony Matias
December 24, 2012
Descriptive Statistics and

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Special *Probability*** Distributions**
Chapter 8
Ibrahim Bohari
bibrahim@preuni.unimas.my
LOGO

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** PROBABILITY** AND STATISTICS
Lab, Seminar, Lecture 4.
Behavior of the sample average
X-bar
The topic of 4th seminar&lab is the average of the
population that has a certain characteristic. This average is the population parameter of interest, denoted by the greek letter mu. We estimate this parameter with the statistic x-bar, the average in the sample.

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8.1 ** BINOMIAL** SETTING? In each situation below, is it reasonable to use a

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10/25/2011
A. MULTIPLE CHOICE QUESTIONS (50%)
1. Temperature is an ** example** of a

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Math 107 002
Homework 5 (due 13 Oct 2011)
Fall 2011
Please use your calculators and give your ﬁnal answers to 3 signiﬁcant ﬁgures. Show your work for full credit. Please state clearly all assumptions made.
1. Classify each random ** variable** as discrete or continuous. (a) The number of visitors to the Museum of Science in Boston on a randomly selected day. (b) The camber-angle adjustment necessary for a front-end alignment. (c) The total number of pixels in a photograph produced by a digital camera...

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A useful ** distribution** for ﬁtting discrete data: revival
of the Conway–Maxwell–Poisson

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deviation =10.59 3. If the variance is 846, ** what** is the standard deviation? Solution: standard deviation = square root of variance = sqrt(846) = 29.086 4. If we have the following data
34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66 Draw a stem and leaf. Discuss the shape of the

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not to explain any more the usefulness of normal ** distribution** in decision-making process no matter whether in social sciences or in natural sciences. Nor is the purpose of making any discussions on the theory of how it can be derived. The only objective of writing this article is to acquaint the enthusiastic readers (specially students) with the simple procedure ( iterative procedure) for finding the numerical value of a normally distributed

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C H A P T E
R
6
The Normal
** Distribution**
Objectives
Outline
After completing this chapter, you should be able to
1
2
3
Identify

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HOMEWORK 2
FROM CHAPTER 6 and 7, NORMAL ** DISTRIBUTION** AND SAMPLING
Instructor: Asiye Aydilek
PART 1- Multiple Choice Questions
____ 1. For the standard normal

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April 2013.
SPECIAL ** DISTRIBUTIONS**
I. Concept of

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The Poisson *probability*** distribution**, named after the French mathematician Siméon-Denis. Poisson is another important

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A coin is tossed four times. The ** probability** is ¼ or 0.25 that all four tosses will result in a head face up.
Answer
Correct Answer: False
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work and 3% needed both corrective shoes and major dental work.

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APPLIED ** PROBABILITY** AND STATISTICS
APPLIED

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their side.
Case Study Questions
1. If the DataStor DS1000 hard drive production process at DataStor Company is “in control”, ** what** percentage of the drives produced would be considered to be in nonconformance by Four-D? In other words,

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random ** variable** because the time is being measured. All possible results for the

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** Probability** Cheatsheet
Expected Value, Linearity, and Symmetry
Simpson’s Paradox
c
c
c
c
P (A | B, C) < P (A | B , C) and P (A | B, C ) < P (A | B , C )
Compiled by William Chen (@wzchen) with contributions from
Sebastian Chiu and Yuan Jiang. Material based off of Joe Blitzstein’s
(@stat110) Intro to

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coefficient of variation equals
a. 0.1125%
b. 11.25%
c. 203.12%
d. 0.20312%
____3. In a ** binomial** experiment, which one(s) of the following is (are) true?
(i) The

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be able to ONEDefine ** probability**. TWO Describe the classical, empirical, and subjective approaches to

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number of cars that pass through. Suppose the
** probabilities** are 1/12, 1/12, 1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7, $9, $11,
$13, $15, or $17 between 4:00 P. M. and 5:00 P. M. on any sunny Friday. Find the attendant’s expected earnings for this particular period.
4.7 By investing in a particular stock, a person can make a proﬁt in one year of $4000 with

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Chapter 6
Continuous *Probability*** Distributions**
Case Problem: Specialty Toys
1. Information provided by the forecaster
At x = 30,000,
[pic]
[pic]
Normal

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** Example** “initial” DEVRY MATH221 Discussion posts
This is a collection DEVRY Math221 “Statistics for Decision Making” Discussion posts. This class is set up as a 8-week class where in the first 7-weeks you must post 3 discussion posts. These posts should be viewed as the ‘initial’ posts for each week. Normally the 2nd and 3rd posts each week are responses to other students. These discussions make up ~14% of the class so they are very important, and an easy way to get maximum points!
These...

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2.3. The Chi-Square ** Distribution**
One of the most important special cases of the gamma

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1. A sample of 20 employee’s salaries from a large company results in the following
salaries (in thousands of dollars) for this year.
28 31 34 35 37 47 42 42 49 41 42 60 52 52 51 72 67 61 75 77.
** What** is the interquartile range (in thousands) of this data set?
(A) 21.5 (B) 10 (C) 50 (D) 23 (E) correct answer is not given
2. Please refer to the previous question.
Suppose each employee in the company receives $3,000 raise for next year. The
interquartile range (IQR) of the salaries will:
(A)...

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TLFeBOOK
FUNDAMENTALS OF ** PROBABILITY** AND STATISTICS FOR ENGINEERS
T.T. Soong State University of New York at Buffalo, Buffalo, New York, USA
TLFeBOOK
TLFeBOOK
FUNDAMENTALS OF

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Basic ** Probability** Notes

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TEM1116 ** Probability** and Statistics
Tri1 2013/14
Chapter 1
Chapter 1: Discrete and Continuous

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Subject : ** Probability** and Statistics = PS Strand 1: Introduction to Statistics. Strand 2: Organizing Data. Strand 3 : Averages and Variation Strand 4: Elementary

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I. ** Probability** Theory
* A branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
* The word

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** Probability**
1.) AE-2 List the enduring understandings for a content-area unit to be implemented over a three- to five- week time period. Explain how the enduring understandings serve to contextualize (add context or way of thinking to) the content-area standards.
Unit: Data and

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1. State whether the ** variable** is discrete or continuous.
The # of keys on each student's key chain.
2. Decide whether the experiment is a

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SIDS31081 - Statistics Refresher
2006 – 2007
Exercises
(** Probability** and Random

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