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STA 4321  Intro To Probability  University Of Florida Study Resources
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 The PMP Exam: How to Pass on Your First Try, Fourth Edition, Blackout: Coal, Climate and the Last Energy Crisis, Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering (v. 1), Probabilistic Methods in Geotechnical Engineering (CISM International Centre for Mechanical Sciences), Probability and Random Processes with Applications to Signal Processing (3rd Edition)

ISM_chapter4
School: University Of Florida
Course: INTRO TO PROBABILITY
Chapter 4: Continuous Variables and Their Probability Distributions y <1 0 .4 1 y < 2 a. F ( y ) = P(Y y ) = .7 2 y < 3 .9 3 y < 4 1 y4 1.0 F(y) 0.0 0 0.2 0.4 0.6 0.8 4.1 1 2 y 3 4 5 b. The graph is above. 4.2 a. p(1) = .2, p(2) = (1/

ISM_chapter10
School: University Of Florida
Course: INTRO TO PROBABILITY
Chapter 10: Hypothesis Testing 10.1 10.2 See Definition 10.1. Note that Y is binomial with parameters n = 20 and p. a. If the experimenter concludes that less than 80% of insomniacs respond to the drug when actually the drug induces sleep in 80% of i

Annual97
School: University Of Florida
Course: Introduction To Probability
Annual Report March 16, 1996  March 15, 1997 Department of Statistics University of Florida Gainesville, FL 326118545 June, 1997 Contents 1 Research Activities: March 16, 1996  March 15, 1997 7 2 NonRefereed Publications 13 3 Technical Reports 16 4 Gr

ISM_chapter3
School: University Of Florida
Course: INTRO TO PROBABILITY
Chapter 3: Discrete Random Variables and Their Probability Distributions 3.1 3.2 P(Y = 0) = P(no impurities) = .2, P(Y = 1) = P(exactly one impurity) = .7, P(Y = 2) = .1. We know that P(HH) = P(TT) = P(HT) = P(TH) = 0.25. So, P(Y = 1) = .5, P(Y = 1)

ISM_chapter7
School: University Of Florida
Course: INTRO TO PROBABILITY
Chapter 7: Sampling Distributions and the Central Limit Theorem 7.1 a. c. Answers vary. d. The histogram exhibits a mound shape. The sample mean should be close to 3.5 = e. The standard deviation should be close to / 3 = 1.708/ 3 = .9860. f. Very s

STA4321samplequiz5
School: University Of Florida

Hwk1
School: University Of Florida
Solutions to Homework 1 2.10 a. The two jobs are identical, so the order does not matter when selecting two applicants, the sample space is S cfw_ Jim, Don , Jim, Mary , Jim, Sue , Jim, Nancy , Don, Mary , Don, Sue , Don, Nancy , Mary, Sue , Mary, Nancy

Quiz9
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Quiz7
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Quiz3
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Exam4solutionSPRING12
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Exam3
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Exam2solutionSPRING10
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STA4321ln7
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STA4321ln9
School: University Of Florida

Smplexmstncts
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Smplexmstnjtn
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Exam1solutionSPRING12
School: University Of Florida

Smlexamstn
School: University Of Florida

STA4321samplequiz3
School: University Of Florida

Exam2
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STA4321ln6
School: University Of Florida

Homework1_sol
School: University Of Florida
STA 4321 Solution to Homework 1 2.10 a. Because the two jobs are indentical, the order is not important in this problem. The sample space is S = cfw_J, D, cfw_J, M , cfw_J, S , cfw_J, N , cfw_D, M , cfw_D, S , cfw_D, N , cfw_M, S , cfw_M, N , cfw_S, N . E

Hwk9
School: University Of Florida

Lecture 2
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Lecture3
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Lecture4
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Lecture5
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Lecture6
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Lecture7
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Lecture8
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Hwk8
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Hwk7
School: University Of Florida
Solutions to Homework 7 5.140 For gamma distribution with parameters and , the moment generating function is M (t ) etx 0 1 x 1e x / dx ( ) 1 ( ) 0 x 1 x /( e 1 t ) dx ( ) 1 t ( ) 1 t 6.1 a. Let Z denote the number of contracts assigned to firm

Hwk6
School: University Of Florida
Solutions to Homework 6 5.63 Solve equation 0.5 F m 1 e m We get m ln 2 0.693 5.65 Let X denote the daily rainfall during a randomly selected September day. a. E X 8, b. 1 V X 2 160 1 0.75 , then we have k 2 . From Tchebysheffs Theorem, k2 1 P ( X 2 )

Hwk2
School: University Of Florida
Solutions to Homework 2 2.41 10 There are ways to choose 4 engineers out of 10, a nd there are 4! ways to assign 4 4 different positions to 4 engineers chosen, thus 10 There are 4! 5040 ways can the director fill the positions. 4 2.50 For each of the 10

Hwk3
School: University Of Florida
4.5 We need to assume each outcome is equally likely for each person to choose each door. Each person has four choices, thus there are 43 64 possible outcomes for three 3 people to enter the building. If x people choose door I, there are ways to specify

Correction For Homework 2
School: University Of Florida
Correction for e of 2.60 : The correct answer should be P (straight) = 10 (45 4) 52 5 which is the same as Prof. Han said in class. My answer to b of 2.60 is correct. There indeed 9 ways to select a straight ush in a specic suit, for 10, J, Q, K, ace in o

Explanations And Correction To Homework 3
School: University Of Florida
Explanation to 3.17 It seems that there are two dierent understandings on eldest daughters. If eldest daughter include the only daughter in the family, the answer is 0.75. The sample space is cfw_B11 B12, B21, B22, G11, G12, G21, G22. B or G denote the ge

Homework2_sol
School: University Of Florida

Homework3_sol
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Hwk4
School: University Of Florida
4.51 a. each individual has the probability of 0.5 to pass the gene to an offspring. P ( the child has no disease gene) P (the first person do not pass gene to the child) P (the second person do not pass gene to the child) 0.5 0.5 0.25 b. for each chil

Hwk5
School: University Of Florida
Solutions to Homework 5 5.5 a. 0 0 f x dx ce x /10 dx 10 ce x /10 thus c 10c 1 1 . 10 b. if b 0, F (b) 0 , if b 0, then F (b) b b 1 x /10 e dx e x /10 1 e b /10 0 0 10 f ( x)dx b thus 1 e b /10 , F (b) 0, b0 b0 c. P ( X 15) 1 P( X 15) 1 P( X 15) 1

Lecture9
School: University Of Florida

STA4321ln5
School: University Of Florida

Quiz5
School: University Of Florida
Course: Introduction To Probability
STA 4321/5325 Spring 2010 Quiz 5 March 3 Name: All problems have exactly one correct answer. Problem 1 Let X be a continuous random variable which takes nonnegative values. Let fX denote the probability density function of X . Then (a) fX (x) = 0 for eve

Q02f2008
School: University Of Florida
Course: Introduction To Probability
STA 4321/5325 Mathematical Statistics 1 Fall 2008 Quiz 2 Name: UF ID: KEY 1. In responding to survey questions which concern sensitive topics people may not respond truthfully. Suppose that we plan to survey 12th graders and ask Have you tried marijuana?

Multicenter Safety Trial
School: University Of Florida
Course: Introduction To Probability
multicenter inv 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 patient visit 4261 4261 4261 4261 4261 4262 4262 4262 4262 4262 4264 4264 4264 4264

BliznyukSTA4322fall2011
School: University Of Florida
Course: Introduction To Probability
STA 4322/5328, Fall 2011 Introduction to Statistics Theory / Fundamentals of Statistical Theory Sections 035B/035C (3 credit hours) Course Information and Policies Objectives: The sequence of courses STA 43214322 (resp. 53255328) provides a formal and sys

Syllab06
School: University Of Florida
Course: Introduction To Probability
STA 4322/STA 5328 Mathematical Statistics 2 Course Outline and Policy Fall, 2006 Instructor: Office: Email: Personal Web Page: Office Hours: Course Web Address: Dr. Andr I. Khuri e 205 GriffinFloyd Hall, Tele: 3921941, ext 238 ufakhuri@stat.ufl.edu htt

STA4322_001
School: University Of Florida
Course: Introduction To Probability
STA 4322 Credits: 3 Mathematical Statistics Spring 2001 Professor George Casella GriffinFloyd 102 casella@stat.ufl.edu Prerequisite STA 4321 or equivalent. You can see what was covered by looking at http:/web.stat.ufl.edu/ ranjini/Teaching/sta4321/ Lectu

STA4322
School: University Of Florida
Course: Introduction To Probability
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Syllabus1
School: University Of Florida
Course: Introduction To Probability
STA 4321/5325 Fall 2008 1 Syllabus STA 4321 Introduction to Probability STA 5325 Fundamentals of Probability Fall Semester, 2008 Instructor: Arthur Berg The best way to reach me outside of class is by email. I will always be available right after class an

Test5
School: University Of Florida
Course: Introduction To Probability
Test V Fall 2008 Introduction to Probability Monday, December 8, 2008 Page: 1 of 1 STA 4321/5325 Instructions: Please turn o your cell phones. Please write all of your answers on a separate sheet of paper and make sure you have clearly labeled the problem

Test4
School: University Of Florida
Course: Introduction To Probability
Test IV Fall 2008 Introduction to Probability Monday, November 17, 2008 Page: 1 of 1 STA 4321/5325 Instructions: Please turn o your cell phones. Please write all of your answers on a separate sheet of paper and make sure you have clearly labeled the probl

Test3
School: University Of Florida
Course: Introduction To Probability
Test III Fall 2008 Introduction to Probability Monday, October 27, 2008 Page: 1 of 2 STA 4321/5325 Instructions: Please turn o your cell phones. Please write all of your answers on a separate sheet of paper and make sure you have clearly labeled the probl

Test1
School: University Of Florida
Course: Introduction To Probability
Fall 2008 Introduction to Probability Test I Monday, September 15, 2008 Page: 1 of 1 STA 4321/5325 Instructions: Please turn o your cell phones. You have 50 minutes to take this test. Relative point values are provided next to each problem. Please write a

STA4321icexam2
School: University Of Florida
Course: Introduction To Probability
STA 4321/5325 Fall 2010 Exam 2 Full Name: On my honor, I have neither given nor received unauthorized aid on this examination. Signature: This is a 50 minute exam. There are 4 problems, worth a total of 40 points. Remember to show your work. Answers lacki

STA4321icexam2SPRING10
School: University Of Florida
Course: Introduction To Probability
STA 4321/5325 Spring 2010 Exam 2 Full Name: On my honor, I have neither given nor received unauthorized aid on this examination. Signature: This is a 50 minute exam. There are 4 problems, worth a total of 40 points. Remember to show your work. Answers lac

STA4321ln4
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STA4321ln3
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STA4321ln2
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STA4321grdcutoffs
School: University Of Florida
These are tentative grade cutoffs, which may be slightly modified later. A = 90 or above A = 8689 B+ = 8185 B = 7180 B = 6670 C+ =6165 C = 5660 C =5155 D+ =4650 D = 4145 D = 3640 E = 35 or below

Courseinfo
School: University Of Florida
STA 4321/5325 Introduction to Probability / Fundamentals of Probability Section 7461/7490 (3 credit hours) Spring 2012 Course Information and Policies Objectives: The sequence of courses STA 43214322 (rep. 53255328) provides a formal and systematic intr

Syllabus4322
School: University Of Florida
Course: Introduction To Probability
STA4322 (Sect 5238) Introduction to Statistical Theory STA5328 (Sect 4048)Fundamentals of Statistical Theory Summer B 2009 Instructor: Mark C. Yang Office: 202 GriffinFloyd Hall Phone: 2732979 Email: yang@stat.ufl.edu Office Hours: 5:10pm6:30pm Tuesda

Syllabus43215325Fall06
School: University Of Florida
Course: Introduction To Probability
Fundamentals of Probability STA 4321 (Section 4529) and STAT 5325 (Section 5566) Fall, 2006 Objective: This course is a broad introduction to the mathematical theory of probability. The objective of the course is to introduce the student to probability as

Syllabus43215325Fall05
School: University Of Florida
Course: Introduction To Probability
Fundamentals of Probability STA 4321 (Section 4529) and STAT 5325 (Section 5566) Fall, 2005 Objective: This course is a broad introduction to the mathematical theory of probability. The objective of the course is to introduce the student to probability as

Homework1_sol
School: University Of Florida
Course: Introduction To Probability
STA 4321 Solution to Homework 1 2.10 a. Because the two jobs are indentical, the order is not important in this problem. The sample space is S = cfw_J, D, cfw_J, M , cfw_J, S , cfw_J, N , cfw_D, M , cfw_D, S , cfw_D, N , cfw_M, S , cfw_M, N , cfw_S, N . E

STA4321HW4
School: University Of Florida
Course: Introduction To Probability
STA 4321 Introduction to Probability Theory Assignment 4 Assigned Monday March 15 Due Monday March 22 Show your work to receive full credit. 1. A machine for lling cereal boxes has a standard deviation of 1 ounce in ll per box. Assume that the ounces of l

STA4321HW2
School: University Of Florida
Course: Introduction To Probability
STA 4321 Introduction to Probability Theory Assignment 2 Assigned Wednesday January 20 Due Monday January 25 Show your work to receive full credit. 1. Students attending the University of Florida can select from 130 major areas of study. A students major

STA4321HW1
School: University Of Florida
Course: Introduction To Probability
STA 4321 Introduction to Probability Theory Assignment 1 Assigned Wednesday January 13 Due Wednesday January 20 Show your work to receive full credit. 1. Let A1 , A2 , . . . be a countable collection of sets. Give a formal proof (not a picture) of the fol

STA4321 HW3(2)
School: University Of Florida
Course: Introduction To Probability
STA 4321 Introduction to Probability Theory Assignment 3 Assigned Friday February 12 Due Monday February 22 Show your work to receive full credit. 1. A study is to be conducted in a hospital to determine the attitudes of nurses toward various administrati

Exam3smplf99
School: University Of Florida
Course: Introduction To Probability
Sample Problems for Exam 3 STA 4321 Mathematical Statistics I Fall 1999 These questions are only meant as a study aid and to help you test your knowledge. Being able to solve them does not guarantee that you are wellprepared for the exam. 1. For each of

Exam1sta4321
School: University Of Florida
Course: Introduction To Probability
STA4321 Name: Practice Exam 1 UFID: Show your work to receive full credit. A formula sheet is provided on the last page. I promise not to cheat on this exam. I understand that accessing notes programmed into my calculator constitutes cheating. I also pr

Final
School: University Of Florida
Course: Introduction To Probability
Final Exam Fall 2008 Introduction to Probability Monday, December 16, 2008 Page: 1 of 3 STA 4321/5325 Instructions: Please turn o your cell phones. Please write all of your answers on a separate sheet of paper and make sure you have clearly labeled the pr

Final Exam Notes
School: University Of Florida
Course: Intro To Probability
5.2 3 balanced coins are tossed independently. One of the variables of interest is Y1, the number of heads. Let Y2 denote the amount of money won on a side bet in the following manner. If the first head occurs on the first toss, you win $1. If the first h

Sample Exam
School: University Of Florida
Course: Introduction To Probability
STA 4321 Kshitij Khare Spring 2013 STA 4321/5325 Spring 2010 Sample Exam Note: This exam is a sample, and intended to be of approximately the same length and style as the actual exam. However, it is NOT guaranteed to match the content or coverage of the a

Exam 2 Answers
School: University Of Florida
Course: Introduction To Probability
STA 4321 Kshitij Khare Spring 2013

Exam 2
School: University Of Florida
Course: Introduction To Probability
STA 4321 Kshitij Khare Spring 2013 STA 4321/5325 Spring 2010 Exam 2 Full Name: On my honor, I have neither given nor received unauthorized aid on this examination. Signature: This is a 50 minute exam. There are 4 problems, worth a total of 40 points. Reme

Stats Basic Set Theory Lecture
School: University Of Florida
Course: Intro To Probability Theory
Lecture 1 Agenda 1. Basic Set Theory Basic Set Theory Denition 1. A set is a well dened collection of distinct objects, which we call the elements or points of the set. Sets are generally denoted by capital letters A, B, C, . and their elements by small l

Covariance Expamples, CauchySchwartz Inequality, Transformation Of Variables
School: University Of Florida
Course: Intro To Probability Theory

More Use Of Independence In Relation To Mgf And Examples
School: University Of Florida
Course: Intro To Probability Theory
Lecture 30 Agenda 1. Use of independence in relation to Mgf continued 2. Some examples Use of independence in relation to Mgf continued Last time, we derived the following result and used it to get some distributional properties. Now we will do some more.

Examples From Normal Distribution, Beta Distribution, Moment Generating Function
School: University Of Florida
Course: Intro To Probability Theory
Lecture 24 Agenda 1. Examples from Normal Distribution 2. Beta distribution 3. Moment Generating Function Example Mainly two kind of examples are done for normal distribution. Example 1 Suppose that mens neck sizes are approximately normally distributed w

Examples For Poisson Distrubution And Hypergeometric Distribution
School: University Of Florida
Course: Intro To Probability Theory
Lecture 15 Agenda 1. Poisson Distribution Examples 2. Hypergeometric Distribution Poisson Distribution Examples Example 1 The manager of a industrial plant is planning to buy a machine of either type A or type B. For each days operation the number of repa

Covariance And Correlation, And For Data Points
School: University Of Florida
Course: Intro To Probability Theory
Lecture 31 Agenda 1. Covariance and correlation 2. For Data points. We will study about covariance and correlation between two random variables in this lecture. Parts of this lecture are similar to lecture 16, but there we did things for discrete random v

Independence Of Random Variables, Use Of Independence In Relation To Mgf
School: University Of Florida
Course: Intro To Probability Theory
Lecture 29 Agenda 1. Independence of random variables 2. Use of independence in relation to Mgf Independence of random variables We recall that, two events A and B are said to be independent if, P (A B ) = P (A)P (B ) i.e. P (AB ) = P (A). i.e. the infor


Conditional Expectation for discrete random Variables, Joint Distribution of Continuous Random Varia
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Conditional Expectation For Discrete Random Variables, Joint Distribution Of Continuous Random Varia
School: University Of Florida
Course: Intro To Probability Theory
Lecture 28 Agenda 1. Conditional Expectation for discrete random variables 2. Joint Distribution of Continuous Random Variables Conditional Expectation for discrete random variables Let X and Y be two discrete random variables. For X = x we know that inst


Joint Probability Distribution For Discrete Random Variables
School: University Of Florida
Course: Intro To Probability Theory
Lecture 27 Agenda 1. Joint Probability Distribution for discrete random variables Joint Probability Distribution for discrete random variables If we have two discrete random variables X and Y , we saw last time, that its not enough to see how X and Y beha

Mixed Random Variables, Joint Probability Distribution
School: University Of Florida
Course: Intro To Probability Theory
Lecture 26 Agenda 1. Mixed random variables and the the importance of distribution function 2. Joint Probability Distribution for discrete random variables Mixed random variables and the the importance of distribution function Any numerical quantity assoc

More Moment Generation Function, Uniqueness Of Moment Generating Function
School: University Of Florida
Course: Intro To Probability Theory
Lecture 25 Agenda 1. Moment Generating Function 2. Uniqueness of Moment Generating Function Moment Generating Function Let us recall that a moment generating function MX for a random variable X , is dened by, MX (t) = E (etX ) = = etx P (X = x) xRange(X )

More Normal Distribution, Standard Normal Distribution And The Z Table
School: University Of Florida
Course: Intro To Probability Theory
Lecture 23 Agenda 1. Normal Distribution continued 2. Standard Normal Distribution and the ztable Standard Normal Distribution If Z follows a normal distribution with parameters (0, 1), i.e. Z N (0, 1) then we say Z is a standard normal random variable.

Gamma Random Variable, Normal Distribution
School: University Of Florida
Course: Intro To Probability Theory
Lecture 22 Agenda 1. Gamma Random Variable 2. Normal Distribution We learned about the exponential random variable in the previous lecture, and saw that, starting from 0 as x gets larger, P (x h < X < x + h ) 2 2 gets exponentially smaller. But this does