Samantha Crist STATS EXAM CHAPTER 6-9
Classical approach: based on equally likely events.
Relative frequency: assigning probabilities based on experimentation or historical data.
Subjective approach: Assigning probabilities based on the assignors (subject
Samantha Crist
Stat Chapters 10-13 Study Sheet
Chapter 10:
Qualities desirable in estimators include unbiasedness, consistency, and relative
efficiency.
The width of the confidence interval estimate is a function of the confidence level, the
population st
STAT 0200
Spring 2012
HOMEWORK 6
26 points
Due Tuesday (3/20) at the beginning of lecture.
From Chapter 17:
17.8 a, b, c (1 pt, 2pts, 2 pts)
17.26 (3 pts)
17.30 b, c (3 pts, 3 pts)
From Chapter 18:
18.26 a, b, c (2 pts, 1 pt, 2 pts)
18.28 a, b: read and t
Kara Magliocca
Professor Beery
Statistics 0200
17 January 2012
8.30:
a.) In order to conduct a simple random sample for the pharmacists of Ontario, I
would put the names of all 7,500 pharmacists in alphabetical order. Next, I would give
each person a numb
Exam 2 Practice Questions
Beery
Stat 200
Spring 2012
CH 11
1. The incomes in a certain large population of college teachers have a normal distribution with
mean $75,000 and standard deviation $10,000. Four teachers are selected at random from this
populat
CH 11
1. The incomes in a certain large population of college teachers have a normal distribution with
mean $75,000 and standard deviation $10,000. Four teachers are selected at random from this
population to serve on a committee. What is the probability
IE 111 Spring Semester 2009 Homework #1 Due Wednesday 01/21/09
Question 1. Consider the Venn diagram at right with events A, B, C, and D as shown when you answer questions a) through e). a) Give a set representation of the shaded region.
B A D S C
Indicat
IE 111 Spring Semester 2009 Note Set #1
Introduction
This course will cover the fundamentals of probability theory. It is essentially a mathematics course (indeed the Accreditation Board of Engineering and Technology, which accredits engineering schools,
Example: Acceptance Sampling A common application of the hypergeometric distribution is in "acceptance sampling".
Acceptance sampling occurs when a supplier delivers a Lot (e.g. a truckload full, a box full, or, in general, a bunch of) material (parts, fr
IE 111 Spring Semester 2009 Homework #2 Due Wednesday, 01.28.09 Question 1 An order for a personal digital assistant can specify any one of five memory sizes, any one of three types of displays, any one of four sizes of a hard disk, and can either include
Axioms of Probability
Axiom 1
0
Axiom 2
P(S) = 1 Axiom 3
Axiom 3 in words. Given that 2 events A and B are M.E., the probability of at least 1 of these events is the sum of their probabilities. Prcfw_AB = Prcfw_A or B
Ei E j = when i j P j Ei = P ( Ei ) i
The Mean and Variance of a Random Variable
Two important quantities that describe the behavior of a random variable and PMF. The mean is also equivalently known as the Expected Value. We can denote the mean/expected value or expectation of a random variab
IE 111 Fall 2008 Homework #3 Officially Due on Friday 9/19 Material on this homework will be fair game for the exam on Wed 9/17
1. Learn the concept of conditional probability by Venn diagram a) If P(A|B) =1, must A=B? Draw a Venn diagram to explain your
Classical Interpretation
Consider experiment with finite S = cfw_s1,s2,sN All outcomes are equally likely to occur
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Axiom 3
Let A be an event defined on S, and let a1 , a2, . , an be the outcomes (elements) comprising event A This is clearly true si
The Poisson Process
The most useful application of the Poisson distribution is in the modeling of purely random processes, also known as Poisson processes. A Poisson Process models an arrival process. For example
the arrival of emergency patients to a hos
IE 111 Spring Semester 2009 Homework #4 Solutions Question 1. Suppose we have a biased coin such that P(head) P(tail). Suppose I flip the coin three times. Let the random variable X be the number of heads in the 3 flips. You are given the following inform
If we flip 10 coins, what is the probability that we get exactly 5 heads? Answer: Suppose we write outcomes as we have in the past. For example HHTTHHTHTT is an example of an outcome with exactly 5 heads. How many total outcomes are there
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If we fl
The Poisson Distribution
The Poisson Distribution is another extremely important distribution in Probability and Statistics. It is especially important for Industrial Engineers for reasons that will become apparent. The distribution was discovered by Simo
IE 111 Spring 2009 Homework #5 Question 1 Let X be a Binomial random variable with n=100, p=.7 (a) Which one of the following Excel formulas will calculate Pr(X=100) ? =BINOMDIST(0,100,.7,TRUE) =BINOMDIST(100,100,.7,TRUE) =BINOMDIST(0,100,.7,FALSE) =BINOM
Today
Finish counting and multichoose Have read through Chapter 2-4 Conditional probabilities Homework #2 due Read Chapter 2-5 Multiplication and Total Probability rules
Wed.
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Conditional Probability
It is often useful to be able to calculate the
Continuous Random Variables
Week of March 16 Click to edit Master subtitle style
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Intro
Domain defined on set of real numbers
Unlike discrete r.v.s that are finite or countably infinite Domain will be interval: all real numbers between [a,b] Or a ra
IE 111 Spring 2009 Homework #6 Due Wednesday, March 18 Question 1 Suppose you go shopping at a convenience store, pick your items, and then join the line for the cash register. There are 6 people in the line ahead of you, plus one person who is currently
Today
Independence Multiplication and Total Probability rules Finish Independence Go over HW Test on Friday, not Wed.
Friday
Next week
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Conditional Probability
The following is very important:
Definition of Conditional Probability
P( A B) P( A |
Continuous Uniform and Normal Distributions
Week of March 16 Click to edit Master subtitle style
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Continuous Uniform Dist.
The uniform distribution is probably the simplest continuous distribution. Its distribution in general form is: fX(x) = 1/(b-a
IE 111 Spring 2009 Homework #7 Solutions Question 1. Consider the following probability density function (PDF): fX(x) = kx2 fX(x) = 0 for 0 x 1 otherwise
a) Find k so that we have a valid probability density function.
x3 k 1 = k x dx = k = thus k = 3 3 0
Go over HW #2 Test Next Friday, February 6 Homework 3 due Wednesday February 4 Will go over HW #3 that Wednesday
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Example
Workers in a nuclear power plant are classified into three groups based on their exposure to radiation, High, Medium and Low.
Normal Distributions and Approximation to Binomial
Week of March 16 Click to edit Master subtitle style
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Example
Suppose X~N(5,16) a) Find k so that P(X < k) = 0.95 Here we are given a probability, and are asked to find an ordinate. Lets work backwa
EX IE 111: Tentative Course Schedule, Spring 2009 Note that we will try to stick to this, but things may slip along the way. Thus this must be considered only as a rough guide. Date Topic 1/12 General Introduction 1/14 Sample Spaces and Events 1/16 Interp
Functional Widgets Box 1 Box 2 Box 3 Box 4 1900 300 900 900
Defective Widgets 100 200 100 100
Question 7 We have 4 boxes with functional and defective widgets. We select a box i at random, with P (Bi)=1/4 and select a widget from it. What is the probabili
Question 2 Fifteen flips of a biased coin are conducted in which the probability of a head is 0.6. Please calculate/provide exact probabilities for each answer. Let X1 = the number of heads in the first ten flips. Let X2 = the number of heads in the last