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CHEM 1 6353 MIDTERM II: CATIONS, ANIONS, RADICALS, PERICYCLIC REACTIONS Given in class period on 10/29/2008 Name:_________________________________________ UH Student ID#:_______________________________ Question 1:____/50 Question 2:____/60 Question 3:____/20 Question 4:____/30 Question 5:____/40 Total:_________/200 This exam should have eight (8) pages. If it does not, ask Ognjen for a replacement immediately. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 2 Question 1 50 points Compound 1, labeled with 13C as shown (*), has been proposed to rearrange to its isomer 1 through transient intermediate diradical 2. The activation enthalpy ( H ) for this reaction is 29 kcal mol 1. The heat of formation of 1 is +129 kcal mol 1. The bond dissociation energy of H2 is 104 kcal mol 1, and the C H bond dissociation energy in benzene is 112 kcal mol 1. The heat of formation of benzene is +20 kcal mol 1. Calculate H for the ring opening step k 1. State any assumptions you need to make in order to do this calculation. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 3 Question 2 60 points (20 + 20 + 20) Provide reasonable mechanisms for the following reactions and account for the stereochemistry of the product, where applicable. Clearly label each step in as much detail as possible (e.g. thermally allowed [ 4s + 4a] cycloaddition). Me D D Me D D CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 4 CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 2008) 6th 5 Question 3 20 points While Ognjen was in graduate school, an interesting paper appeared (J. Am. Chem. Soc. 2001, 123, 8428). The authors reported a study of the reaction of benzocyclobutanone with base. The pKa of benzocyclobutanone was estimated at ~25, which is significantly higher than the pKa of cyclobutanone (~20). Where does this difference come from? Would you expect the pKa of cyclobutenone to be higher or lower than that of benzocyclobutanone? Explain your reasoning. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 6 Question 4 30 points Provide a full orbital correlation diagram for the thermally allowed [6+4] cycloaddition of 1,3,5hexatriene and 1,3-butadiene. Be very careful about the relative energies and symmetries of orbitals in both cycloaddition partners. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 7 Question 5 40 points Bromination of the lactone shown below has often been referred to as the molecular somersault . Propose a reasonable mechanism for this transformation, and suggest two separate experiments that could prove your proposed mechanism. Be very specific in the description of these experiments; vague answers like "isotope labeling" will not count for much. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008) 8 If you need extra space, use this page. Clearly specify what problem you will be solving here. No external pieces of paper will be graded. CHEM 6353: PHYSICAL ORGANIC CHEMISTRY Fall 2008 (August 25th December 6th 2008)
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U. Houston >> CHEM >> 6353 (Fall, 2008)
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U. Houston >> CHEM >> 6353 (Fall, 2008)
1 CHEM 6353MIDTERM I: ADDITIONS, ELIMINATIONS, AROMATIC SUBSTITUTIONS Given in class period on 09/24/2008 Name:_ UH Student ID#:_ Question 1:_/40 Question 2:_/30 Question 3:_/60 Question 4:_/40 Question 5:_/30 Total:_/200 This exam should have s...
U. Houston >> MATH >> 1300 (Fall, 2008)
University Of Houston Department of Mathematics Math 1300 Fundamentals of Mathematics Course Description: A survey of pre-college algebra. Topics include signed numbers, operations with algebraic expressions, first degree equations and inequalities i...
U. Houston >> MATH >> 1300 (Fall, 2008)
Math 1300 Chapter, Section Course Objective Objective and Examples Page 1 Material Covered by the end of week # 1 1.1 Identifying Real Numbers Natural Example: {1, 2, 3, 4,} Whole Example: {0, 1, 2, 3, 4,} Integers Example: {-3,-2,-1, 0, 1, 2, 3,...
U. Houston >> MATH >> 1300 (Fall, 2008)
Review for Final Math 1300 1 List the numbers in {-5, 0/9, -7/0, - 3 , 2.4, 7, -2/3, - 3. 6 , , 15/4, 0.13242.} a) Natural numbers b) Whole numbers c) Integers d) Rational numbers e) Irrational numbers f) Real numbers g) Undefined numbers 2 Use eac...
U. Houston >> MATH >> 1300 (Fall, 2008)
University Of Houston Text: http:/online.math.uh.edu/Math1300 Students in Math 1300 can also obtain a printed version of their text from the University Copy Center. None Prerequisite: Read Math 13XX policies also. Grading: The course is a pass/fa...
U. Houston >> MATH >> 1310 (Fall, 2008)
University of Houston Department of Mathematics Math 1310 College Algebra Prerequisite: The prerequisite for this course is to have met one or more of the following requirements: 1. 2. 3. 4. 5. A total SAT score of 900 or more. An SAT mathematics s...
U. Houston >> MATH >> 1310 (Fall, 2008)
Math 1310 Self-Paced College Algebra TLE CD Lesson Title 1. Real Numbers TLE CD Subtitle The Real Number System Solving Problems Operations with Real Numbers Rational Exponents Simplifying Radical Expressions Multiplying and Dividing Radical Express...
U. Houston >> MATH >> 1310 (Fall, 2008)
College Algebra (Math 1310) Course Objectives Chapter.Section Objective and Examples 2.1 Given two points, find an equation of the line passing through them. Example. Find an equation of the line that passes through (2, -1) and (-3, 5). Material...
U. Houston >> MATH >> 1310 (Fall, 2008)
Prerequisite Math 1310 The prerequisite for this course is to have met one or more of the following requirements: 1. A total SAT score of 900 or more (not including the writing portion). 2. An SAT mathematics subscore of 530 or more. 3. An ACT compos...
U. Houston >> MATH >> 1311 (Fall, 2008)
MATH 1311 Syllabus Course: MATH 1311 Elementary Mathematical Modeling Prerequisite: Two credits of high school algebra, one credit of geometry and satisfactory scores on the placement examination. Course Description: Credit 3 hours (3-0). Functions,...
U. Houston >> MATH >> 1312 (Fall, 2008)
Math 1312 Introduction to Mathematical Reasoning Prerequisites: Credit for or placement out of Math 1310 or Math 1311. Textbook: Essentials of Geometry for College Students,by Lial, Steffenson, and Johnson; second edition, Pearson, Addison Wesley, 20...
U. Houston >> MATH >> 1312 (Fall, 2008)
Math 1312 HOMEWORK Section Exercises 1.1 # 3, 4, 13, 15, 17, 25, 27, 29, 33, 34, 39, 41, 43, 55 1.2 # 3-7, 9, 11-15, 19, 21, 24, 35-39, 41-43, 46 1.3 # 1-6, 11, 14-17, 25, 29, 31 1.4 # 1, 3, 5-8, 10-13, 15, 17, 19, 21, 25, 31, 34 1.5 # 7-10, 11, 14, ...
U. Houston >> MATH >> 1312 (Fall, 2008)
MATH 1312 Syllabus Course Objectives Chapter.Section Objective and Example Define and use logical reasoning and valid statements to develop formal proofs. 1.1 Example: Given the statement \"If the diagonals of a parallelogram are perpendicular, then t...
U. Houston >> MATH >> 1312 (Fall, 2008)
M 1312 Extra credit Test 3 Last Name _ First Name_ Grading ID_ Complete the following proof: Given: m1 = 70 and m2 = 70 Prove: ABC ~ XBY ...
U. Houston >> MATH >> 1313 (Fall, 2008)
University of Houston Mathematics Department Math 1313: Finite Mathematics Prerequisite: Credit for or placement out of Math 1310. Students with prior credit for MATH 2331 or INDE 2331 will not receive credit for Math 1313. May not apply to a major o...
U. Houston >> MATH >> 1313 (Fall, 2008)
Math 1313 Syllabus Fall Semester 2007 Text: College Mathematics for the Managerial, Life and Social Sciences, 5th edition by Tan. This text can be found online at http:/casa.uh.edu. If you would like a hard copy of the text, you can try to purchase i...
U. Houston >> MATH >> 1313 (Fall, 2008)
Math 1313 For each of the following, let n(U) = 100, n(A) = 26, B = 48, and n(A B) = 14. 1. What is n(A B)? a. 74 b. 60 c. 84 d. 46 e. None of the above 2. What is n(A B)C? a. 14 b. 86 c. 40 d. 26 e. None of the above 3. What is n(A B)C? a. 60 b....
U. Houston >> MATH >> 1313 (Fall, 2008)
Math 1313 1 0 0 1 1. Is the matrix 0 1 0 2 in row-reduced form? 0 0 2 3 a. yes b. no 1 0 0 2. Is the matrix 0 1 0 in row-reduced form? 0 0 0 a. yes b. no Popper #02 ...
U. Houston >> MATH >> 1314 (Fall, 2008)
University of Houston Mathematics Department MATH 1314: Elements of Calculus Prerequisite: Credit for or placement out of Math 1310. Students with prior credit for Math 1431 will not be permitted to enroll in or receive credit for Math 1314. Course D...
U. Houston >> MATH >> 1314 (Fall, 2008)
Course Syllabus Math 1314 Spring Semester 2009 Note: This page contains policies that are specific to Math 1314. You should also be thoroughly familiar with the Math 13xx Course Policies. Text: College Mathematics for the Managerial, Life and Social...
U. Houston >> MATH >> 1314 (Fall, 2008)
Math 1314 Spring 2009 Beginning of the Semester To-Do List 1. Sign up for a CASA account in CourseWare at http:/www.casa.uh.edu. CASA refers to both a website and a physical location. You will take Test 1, all Practice Tests and all weekly Quizzes o...
U. Houston >> MATH >> 1314 (Fall, 2008)
Course Syllabus Math 1314 Spring Semester 2008 Text: College Mathematics for the Managerial, Life and Social Sciences, 5th Edition, by Tan. The text is online at www.casa.uh.edu. It is not available in the bookstore. Prerequisite: For returning stud...
U. Houston >> MATH >> 1330 (Fall, 2008)
University of Houston Department of Mathematics Math 1330, Precalculus Course Policies (pdf) Prerequisite: The prerequisite for this course is to have met one or more of the following requirements: 1. Received credit for MATH 1310 or higher at UH; 2....
U. Houston >> MATH >> 1330 (Fall, 2008)
MATH 1330: Precalculus Summer IV 2008 Section 19794, 10 a.m. 12 noon, MTWTh Lecturer: Office: Email: Fax: Website: Mailbox: Phone: Conference Hours: Marjorie Marks 610 PGH mmarksc@math.uh.edu 713-743-3505 www.math.uh.edu/~mmarksc 651 PGH do not cont...
U. Houston >> MATH >> 1330 (Fall, 2008)
Math 1330 Section 3.2 Logarithmic Functions In this section well review logarithms and graphs of logarithmic functions. Well start with a definition of a logarithm. We say log b a = p, b > 0, b 1, a > 0 if and only if b p = a. You should remember ho...
U. Houston >> MATH >> 1330 (Fall, 2008)
Math 1330 Section 3.1 Exponential Equations and Functions An exponential equation is an equation of the form c a x = b where a > 0, c is any real number. In this section, youll review solving equations like these using the method of common bases. Th...
U. Houston >> MATH >> 1431 (Fall, 2008)
University of Houston Department of Mathematics MATH 1431 Calculus I SYLLABUS Text: CALCULUS, 9 th Edition, by Salas, Hille, Etgen, published by John Wiley & Son. Text is in electronic form . CourseWare Homework Assignments html pdf Exam Calendar Al...
U. Houston >> MATH >> 1431 (Fall, 2008)
University of Houston Department of Mathematics MATH 1431 - CALCULUS I Homework Problems Chapter 2. Section 2.1: 1, Section 2.2: 2, Section 2.3: 1, Section 2.4: 1, Section 2.5: 3, Section 2.6: 1, Chapter 3. Section 3.1: 1, Section 3.2: 3, Section 3.3...
U. Houston >> MATH >> 1431 (Fall, 2008)
Math 1431 Formulas Look over Trig Formula sheet: http:/www.math.uh.edu/~bekki/trigReview.pdf Know how to compute limits and know: lim x 0 sin x =1 x and lim x0 1 cos x =0 x Formal definition of continuity at a point: A function is continuous a...
U. Houston >> MATH >> 1431 (Fall, 2008)
Math 1431 Online, Section 26576 Spring 2008 Final Exam Review 1. Find the following limits (if they exist): sin 7 x a. lim x >0 9x b. lim c. lim 3x = x > 0 sin(4 x ) e. lim 5x = x > 0 tan(2 x ) x3 8 = x > 2 x 2 4 x2 1 = x >1 x + 1 f. lim 2 x...
U. Houston >> MATH >> 1432 (Fall, 2008)
University of Houston Department of Mathematics MATH 1432 Text: CALCULUS, 9th edition. Authors: Salas Sons, Inc. Text is in electronic form. WebCT Information Homework Assignments: html pdf Exam Calendar All exams wil...
U. Houston >> MATH >> 1432 (Fall, 2008)
Print SAMPLE QUESTIONS OF MATHEMATICS 1432 Three hours are allotted for this examination: 1 hour and 30 minutes for Section I, which consists of multiple-choice questions, and 1 hour and 30 minutes for Section II, which consists of problems requirin...
U. Houston >> MATH >> 2303 (Fall, 2008)
MATH 2303 - Concepts in Algebra http:/www.math.uh.edu/UH_NEW/undergrad/syllabi/2303/2303.html University of Houston Mathematics Department MATH 2303 - Concepts in Algebra Syllabus Prerequisites: Math 1312 or Math 1313 Text: A Survey of Mathematics ...
U. Houston >> MATH >> 2303 (Fall, 2008)
Math 2303 Concepts in Algebra Section 19410 Room 201 Garrison TTh 10 a.m. 11:30 a.m. Instructor: Marjorie Marks Email address: mmarksc@math.uh.edu Website: www.math.uh.edu/~mmarksc Conference hours: MW 12:15 p.m. 2:15 p.m. in 222 Garrison, or by ...
U. Houston >> MATH >> 2303 (Fall, 2008)
Math 2303 Assigned Homework and Due Dates Note: These due dates are tentative and may be earlier or later than what is listed. Changes will be announced in class and posted on the website under Course Announcements. Assignment Number Section Covered...
U. Houston >> MATH >> 2303 (Fall, 2008)
Math 2303 Homework 5 Arithmetic Operations 1. Arrange the following whole numbers in increasing order: 1000, 10001, 100010, 100100, 100011, 10010, 10111, 10012, 1100, 11011, 100099 2. Use an array and multiplication as faster addition to demonstrate ...
U. Houston >> MATH >> 2311 (Fall, 2008)
Math 2311 Syllabus http:/www.math.uh.edu/UH_NEW/undergrad/syllabi/2311/2311.html University of Houston Mathematics Department MATH 2311 Introduction to Probability and Statistics Text: Basic Statistics: An Inferential Approach, Dietrich and Kerns. ...
U. Houston >> MATH >> 2311 (Fall, 2008)
Math 2311LarsonSpring 2008 Sample Test 2 Problem 1. A casino game costs $5 to play. If you win you get $25. The probability of winning is 0.23. What is the expected value of this game (how much would you expect to win or lose on average)? Is this a f...
U. Houston >> MATH >> 2311 (Fall, 2008)
2311-Larson-Examples-2 Sec. 3.4 #3.48 Sec. 3.4 #3.59 Sec. 4.1 From: COUNTING PROBLEMS handout (on my web page, answers on WebCT link) 1. Five different books are on a shelf. In how many different ways could you re-arrange them in different orders ...
U. Houston >> MATH >> 2311 (Fall, 2008)
MATH 2311 PRINT LAST NAME_ PRINT INITIALS _ Spring 2004 SOCIAL SECURITY # _ - _ _ ANSWER ALL HYPOTHESIS TESTING QUESTIONS USING A .1 LEVEL OF SIGNIFICANCE AND ALL CONFIDENCE INTERVAL QUESTIONS AT THE 95% LEVEL OF CONFIDENCE. 1) DRUG COMPANIES PD AN...
U. Houston >> MATH >> 2331 (Fall, 2008)
University of Houston Department of Mathematics SyllabusMath 2331, Linear Algebra Text: Introduction to Linear Algebra by Gilbert Strang, Third Edition. Wellesley-Cambridge Press. Text Web Site: http:/web.mit.edu/18.06/www/ Online Lectures: http:/web...
U. Houston >> MATH >> 2331 (Fall, 2008)
Course Description ECE 2331 Numerical Methods for Electrical Computer Engineers Cr. 3 ...
U. Houston >> MATH >> 2433 (Fall, 2008)
Math 2433: Calculus III Homework http:/www.math.uh.edu/UH_NEW/undergrad/syllabi/2433/2433-hw. University of Houston Department of Mathematics MATH 2433 CALCULUS III Text: CALCULUS, 9th edition. Authors: Salas, Hille, Etgen; John Wiley & Sons, Inc....
U. Houston >> MATH >> 2433 (Fall, 2008)
University of Houston Department of Mathematics Math 2433 Text: CALCULUS, 9th edition . Authors: Salas, Hille, Etgen. Publisher: John Wiley & Sons, Inc. Text is in electronic form . Exam Calendar Homework Assignments: html pdf Syllabus Chapter 12. V...
U. Houston >> MATH >> 2433 (Fall, 2008)
CHAPTER 12 SECTION 12.1 3. length AB : 5 2 1 midpoint: 2, 2 , 5 2 4. length AB : 9 midpoint: (1, 3 , 3) 2 7. y=1 13. 9. x=3 5. 12. 15. 19. z = 2 (x 1)2 + y 2 + (z + 2)2 = 16 (x 2)2 + (y 4)2 + (z + 4)2 = 36 (x 3)2 + (y 2)2 + (z 2)2 = 13 x...
U. Houston >> MATH >> 3303 (Fall, 2008)
Math 3303 Instructor: Textbook: Introduction to Number Theory Leigh Hollyer Excursions in Number Theory C. Stanley Ogilvy and John T. Anderson ISBN 0-486-25778-9 copyright: 1966; Oxford University Press 1988; Dover Publications buy it from Amazon or...
U. Houston >> MATH >> 3303 (Fall, 2008)
3303 Final Hints: Primative Pythagorean Triples (from the first half) Fibonnaci numbers: Theorems and facts to illustrate and explain Continued Fractions: converting to and from pattern recognition and discussion Modular arithmetic and squares (from ...
U. Houston >> MATH >> 3304 (Fall, 2008)
3304 Hints for the Mid-semester 1. 2. 3. 4. 5. Arithmetic sequence question Sequence: terms, bounds, limits. Piecewise defined function: Domain, Range, intercepts, asymptotes, continuity. Graph it. Polynomial: Domain, Range, intercepts, asymptotes, c...
U. Houston >> MATH >> 3304 (Fall, 2008)
Jan 20-4:12 PM 1 Jan 20-4:17 PM 2 Jan 20-4:21 PM 3 Jan 20-4:29 PM 4 Jan 20-4:35 PM 5 Jan 20-4:43 PM 6 Jan 20-4:51 PM 7 Jan 20-4:59 PM 8 Jan 20-5:04 PM 9 Jan 20-5:17 PM 10 Jan 20-5:19 PM 11 Jan 20-5:23 PM 12 Jan 20-5:30 PM 13 ...
U. Houston >> MATH >> 3306 (Fall, 2008)
Math 3306 Hints for the mid-semester Youll be given a test booklet. Write on the front side onlytheres a scratchwork page at the back. 4 neatness points will be awarded (or not). Question 1 11 points, 1 page to answer A strategy question. Youre not e...
U. Houston >> MATH >> 3321 (Fall, 2008)
University of Houston Department of Mathematics MATH 3321: Engineering Mathematics Prerequisite: MATH 1432: Calculus II 1. Introduction to Differential Equations 1.1 Basic Terminology 1.2 n-Parameter Family of Solutions; General Solution; Particular ...
U. Houston >> MATH >> 3331 (Fall, 2008)
University of Houston Mathematics Department MATH 3331 Ordinary Differential Equations Prerequisite: Math 2431 and Math 2433. Text (new textbook) : Differential Equations, Second Edition, by J. Polking, A. Boggess and D. Arnold. Prentice Hall, 2006. ...
U. Houston >> MATH >> 3331 (Fall, 2008)
Math 3331 Dierential Equations Practice Exam 2 1. Solve the initial value problem 2 0 X= 0 0 where X0 = (1, 2, 4, 1)t. 2. Consider the nonlinear system of dierential equations x = 2 + 3y 2xy z 2 y = 1 + x2 z z = yz z 2 . (a) Verify that (0, ...
U. Houston >> MATH >> 3331 (Fall, 2008)
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U. Houston >> MATH >> 3331 (Fall, 2008)
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U. Houston >> MATH >> 3333 (Fall, 2008)
STUDENT SYLLABUS FOR MATH 3333, INTERMEDIATE ANALYSIS PREREQUISITE: MATH 2433 TEXT: Analysis with an Introduction to Proof, Third Edition, by Steven R. Lay, Prentice-Hall, 2001. MATH 3333 is the rst rigorous theorem/proof-type course in analysis at t...
U. Houston >> MATH >> 3333 (Fall, 2008)
MATH 3333: INTRODUCTION TO ANALYSIS COURSE INFORMATION Section No.: Instructor: Oce No.: Phone: e-mail: 07851 Garret J. Etgen 695 PGH 713-743-3510 etgen@math.uh.edu Text: Author: Publisher: ANALYSIS 4th edition Steven R. Lay Prentice Hall SYLLABU...
U. Houston >> MATH >> 3334 (Fall, 2008)
STUDENT SYLLABUS FOR MATH 3334, ADVANCED MULTIVARIABLE CALCULUS PREREQUISITES: MATH 3333 RECOMMENDED TEXT: VECTOR CALCULUS, 4TH Edition, by Marsden and Tromba, Freeman Publ. 1996 This is a rst course in the basic theory and analysis underlying n-dime...
U. Houston >> MATH >> 3335 (Fall, 2008)
STUDENT SYLLABUS FOR MATH 3335, VECTOR ANALYSIS PREREQUISITES: MATH 2433 or the approval of the chair RECOMMENDED TEXT: Introduction to Vector Analysis, 7th Ed., by H. F. Davis and A. D. Snider, Wm. C. Brown, Publ., 1998. Another good text is Vector ...
U. Houston >> MATH >> 3335 (Fall, 2008)
Math 3335 (Spring 2008) N-W 1:00-2:30pm PRACTICE EXAM March 17, 2008 1) If f1 , f2 are C 2 -scalar elds show ( f1 f2 ) = 0. 2) Find the analytic equation of the plane tangent to the surface z = x2 + y 2 , with x, y, zinR at the point (2, 3, 13). ...
U. Houston >> MATH >> 3335 (Fall, 2008)
Take the cylindrical-like paraboloid surface dened by y 2 = 1 x and x 0 which is contained between the planes z = x and z = 0. 1. Find an parametrization of this surface so that n i 0. To carry out this part of the problem follow the next steps. ...
U. Houston >> MATH >> 3336 (Fall, 2008)
SYLLABUS FOR MATH 3336, DISCRETE MATHEMATICS, FALL, 2003 Fri Aug 08 2003 16:50:22 US/Central SYLLABUS FOR MATH 3336 DISCRETE MATHEMATICS FALL, 2003 Course Policies (pdf) Print, read, and return acknowledgement Chapter I. The Foundations: Logic And ...
U. Houston >> MATH >> 3336 (Fall, 2008)
Course Description ECE 3336 Introduction to Circuits and Electronics Required Course in BSCE, BSIE, and BSME Degree Plans 2005 Catalog Data: ECE 3336: Introduction to Circuits and Electronics Cr. 3. (3-0). Prerequisites: MATH 2433 and PHYS 1322. For...
U. Houston >> MATH >> 3338 (Fall, 2008)
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U. Houston >> MATH >> 3338 (Fall, 2008)
University of Houston Department of Mathematics Math 3338: Probability Prerequisite: Math 1432. Course Description: Sample spaces, events and probabilities; random variables and distributions; expectations, variances and covariances; basic discrete a...
U. Houston >> MATH >> 3338 (Fall, 2008)
MATH 3338 (SPRING 2007) SECTION 11087 NAME: NOTE: Each problem worths 20pts. 1 2 FINAL EXAM 1) a. Let X, Y be independent random variables. Prove that Cov(X, Y ) = 0. Prove, all statements that you intent to use pertaining to the independence of...
U. Houston >> MATH >> 3338 (Fall, 2008)
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U. Houston >> MATH >> 3339 (Fall, 2008)
Math 3339 (Summer IV 2008) EXAM 2 YOUR NAME: NOTE: Each problem gives 10pts. You must complete this exam in 2.5 hours the latest. Should you need to use any of the tables in the appendix of the textbook please do so but do not open your book on any o...
U. Houston >> MATH >> 3339 (Fall, 2008)
University of Houston Department of Mathematics Math 3338: Probability Prerequisite: Math 1432. Course Description: Sample spaces, events and probabilities; random variables and distributions; expectations, variances and covariances; basic discrete a...
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