# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

2 Pages

### 5ex1s

Course: AMBIO 5830, Fall 2009
School: East Los Angeles College
Rating:

Word Count: 286

#### Document Preview

5830 MATH Solutions Exercises 1 Page 1 MATH 5830 Solutions Exercises 1 1. This questions deals with the cardioid distribution. (a) Clearly, max f = (1+2)/(2); min f = (1-2)/(2), so that || 1/2 is necessary to ensure f is a probability density. Further since replacing by - is equivalent to replacing by +, we might restrict to the interval 0 1/2 for identifiability purposes, allowing to range through the...

Register Now

#### Unformatted Document Excerpt

Coursehero >> California >> East Los Angeles College >> AMBIO 5830

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
5830 MATH Solutions Exercises 1 Page 1 MATH 5830 Solutions Exercises 1 1. This questions deals with the cardioid distribution. (a) Clearly, max f = (1+2)/(2); min f = (1-2)/(2), so that || 1/2 is necessary to ensure f is a probability density. Further since replacing by - is equivalent to replacing by +, we might restrict to the interval 0 1/2 for identifiability purposes, allowing to range through the whole circle, 0 < . (b) A general Fourier series takes the form f () = 1 0 + 2 {j cos(j) + j sin(j)}. j=1 Matching terms to the cardioid density yields 0 = 1 (true for any probability density), 1 = cos , 1 = sin , with all the other coefficients equal to 0. (c) let = - 0 , so that d = d. Then the result follows from a simple application of the change of variable formula applied to the density of . (d) The first trigonometric moments of the cardioid distribution are given by cos E = sin 2 0 cos cos2 cos } d = , 2 sin sin sin where after the fisrt equality, terms which integrate to 0 have been dropped. Hence the moment estimators of and , which are obtained by matching the first population trigonometric moments to their sample counterparts, take the form = atan2(C, S), ^ = min(R, 1/2). ^ Strictly speaking, matches moments only if R 1/2; otherwise this "moment" ^ estimate gives the best-fitting legitimate value of . Thus if R = 0.2, we estimate = 0.2. On the other hand, if R = 0.8, we estimate ^ = 0.5. ^ MATH 5830 Solutions...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

East Los Angeles College - AMBIO - 105001
MATH1050 : EXAMPLES 2To be handed in on Tuesday 30th October, 1pm 1. Find the indefinite integrals with respect to x of the following functions. (i) x- 4 ,1(ii)x + 1,(iii) x3 , 2 + x4(iv)log x , x(v) cot x(vi) x2 cosh x,(vii) (
East Los Angeles College - AMBIO - 105001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: /export/a/users/read/teaching/1050/1050A2.dvi %Pages: 3 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine
East Los Angeles College - AMBIO - 105001
MATH1050 : EXAMPLES 4 Hand in on Tuesday 20th November 1. Express (a) cos6 and (b) sin5 in terms of cosines and sines of multiples of the variable . 2. Find all the solutions of the following equations (a) z 2 + 2z + 4 = 0, (b) z 6 + 7z 3 - 8 = 0.
East Los Angeles College - AMBIO - 105001
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: /export/a/users/read/teaching/1050/1050A67.dvi %Pages: 2 %PageOrder: Ascend %BoundingBox: 0 0 596 842 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLin
East Los Angeles College - AMBIO - 3830
East Los Angeles College - AMBIO - 3830
MATH 3830 Examples 1 Page 1Math 3830 Exercises 11. Consider a 4 2 configuration matrix xT x11 1 T x x X = 2 = 21 xT x31 3 x41 xT 4 x12 x22 . x32 x42Which of the following are shape, form and/or size variables? (a) x12 (b) xT x2 1
East Los Angeles College - AMBIO - 3830
MATH 3830 Practical Page 1Math 3830 PracticalThe purpose of this practical is to compare two sets of gorilla skull data, one set male and the other female. After running the usual start-up script, the data can be find in arrays gorm.dat and gorf.d
East Los Angeles College - AMBIO - 3830
# preliminary calculations for Shape analysis practicalx=bk.coords(gorm.dat); y=bk.coords(gorf.dat)k=dim(x)[1] # number of landmarksm=dim(x)[2] # number of coordinates, =2nx=dim(x)[3] # number of malesny=dim(y)[3] # number of females# so x and
East Los Angeles College - AMBIO - 3830
MATH 3830 Solution Practical Page 1Solution to Practical OverviewThe purpose of the practical is to analyze the gorilla skull data, looking at the relationships within and between centroid size, sex and shape (a 12-dimensional quantity). There are
BYU - STAT - 361
Solutions to Exercises for Chapter 1616.1. An assembly consists of three stacked parts. Due to manufacturing imperfections the parts are not identical, and their thicknesses follow a normal distribution with a range of natural variation of .006 inch
East Los Angeles College - AMBIO - 2021
Complex Analysis 2004/2005c K. Houston 20051Complex FunctionsIn this section we will define what we mean by a complex function. We will then generalise the definitions of the exponential, sine and cosine functions using complex power series. T
East Los Angeles College - AMBIO - 2021
University of Leeds, School of Mathematics MATH 2021 Complex Analysis: Problems 1.Submit by Monday 14 February 2005 1. Find all the complex solutions to the following equations: i (i) ez = 1 - i; (ii) cos z = 5/4; (iii) 3iz = 1 + i. e 2. Sketch the
East Los Angeles College - AMBIO - 2021
University of Leeds, School of Mathematics MATH 2021 Complex Analysis: Solutions 1.1. February 2005 (i) We require |1 i| and arg(1 i): |1 i| = 12 + 12 = 2, and arg(1 i) = , by looking at the Argand diagram, (or by 4 calculating tan1 (1/1). Th
University of North Carolina, Wilmington - CHM - 445
Key to Chemistry 445 Test March 9th 2005.1) F F F S F F F P F [PF4]+ tetrahedral F F F [XeF5]+ square pyramidal F Xe F FSF4 saw-horse or disphenoidal 2)The non-existent Be2 molecule, bond order = 0O2 molecule, bond order = 2OO2OBe2 doe
Cornell - ECON - 301
Econ 301 F06 PROBLEM SET 6 DUE FRIDAY NOVEMBER 17 in class Wissink 1. Critically evaluate the following statements and explain to what extent they are true, false, or uncertain. a) A firm operating at an output level where marginal revenue equals m
National Taiwan University - ECON - 520
Print name_ Recitation Day &amp; Time _Sign name _ Econ 520 F06Homework 6 10/31, 11/2, due 11/36.1. (10 homework points). Using the Money and Credit model in M&amp;B Chapter 19 (Figs. 5, 6, 9, and 10), explain the effect of a one-time decrease in the s
East Los Angeles College - AMBIO - 20061
Department of Applied Mathematics Second Semester seminars 2005-6Mondays at 3:00 p.m. in Lecture Theatre 16, Roger Stevens Building. Tea and Biscuits will be served after the seminar in the School of Mathematics (level 9). Abstracts and further deta
East Los Angeles College - AMBIO - 20041
University of LeedsDepartment of Applied Mathematics Seminars in Semester 2 2004 Mondays at 3:00 p.m. in Lecture Theatre 16, Roger Stevens Building Tea and Biscuits will be served after the seminar in the School of Mathematics (level 9) Abstracts an
National Taiwan University - H - 200
Ohio State University Department of Economics Econ. H200 Fall 2006 Homework #4 Prof. James PeckChapter 8, Problems 10 and 11. Chapter 13, Problems 4, 5, and 10.Note: On Chapter 13, Problem 10, the variable cost should be \$5 Q, not average variabl
East Los Angeles College - AMBIO - 20071
Department of Applied Mathematics First Semester Seminars 2006-7Mondays at 3:00 p.m. in Lecture Theatre 16, Roger Stevens Building. Tea and Biscuits will be served after the seminar in the School of Mathematics (level 9). Abstracts and further detai
East Los Angeles College - AMBIO - 20051
Electrical Tomography for object location/tracking in an industrial processB A Cattle1, R G Aykroyd1 AND R M West21Schoolof Mathematics,University of Leeds, LS2 9JT.2Centrefor Epidemiology and Bio-statistics,University of Leeds, Leeds, LS2
East Los Angeles College - AMBIO - 20031
x yni`e 7vk y s t)} )SSPdqP7WA `peYRk mm p5f7yye3ef' m x rw`yjp&quot; &amp;9 Y1i x m 5mpR )SRA7Gy3 w x m @emeP &amp;9 Y1ir `ge)Sp&quot;fCE } it 5rmgjw` )Gs } x xm x x pd5Ayw
National Taiwan University - ECON - 805
Department of Economics The Ohio State University Final Exam Questions and Answers Econ 805Prof. Peck March 16, 2004 Directions: all work. Answer all questions, carefully label all diagrams, and show1. (30 points) Consider an exchange economy with
National Taiwan University - ECON - 520
Print name_Sign name _ Econ 520 F 06Section Day and Hour _ Homework 5 10/19, 10/24, 10/26, due 10/27 For full credit, show your calculations on each computational problem.5.1 (24 homework points) Identify the lowest monetary aggregate that each
National Taiwan University - ECON - 808
The Ohio State University Department of Economics Econ 808Problem Set #2 Due Tuesday, April 23 Spring 2002 Levin and Peck 1. Consider the following economy with one physical commodity per state of nature and three consumers, each of whom seek to maxi
Yale - ECON - 115
Problem Set 2Econ 115a September 24, 2007The rules for problem sets in this course are that [1] you should feel free to discuss the problems with others, but [2] in the end you must write up your own results. This problem set is due Monday, Oct. 1
National Taiwan University - ECON - 805
Department of Economics The Ohio State University Econ 805-Homework #1 due Thursday, January 24Prof James Peck Winter 2008 1. A consumer's offer curve is the locus of tangencies between the budget lines and indifference curves as relative prices cha
Cornell - ECON - 102
Professor McClellandMonday, October 28, 2002Econ 102 Midterm ExamNote: Total time - 50 minutes Answer both Part A and Part B Part A and Part B are of equal valueUSE TWO EXAM BOOKS, ONE FOR PART A AND PART B. ON EACH EXAM BOOK PRINT YOUR NAME A
Marietta - ECON - 211
Econ 211 Exam 2 Part I: Multiple Choice. Choose the best (single) answer. Each is worth 2 points. 1. a) b) c) d) 2. a) b) c) d) A leftward shift of the entire supply curve: might be due to a decrease in the price of inputs. might be due to an increas
National Taiwan University - ECON - 805
Department of Economics The Ohio State University Econ 805-Homework #2 AnswersProf James Peck Winter 2008 1. (Note: I am changing the notation so that firm g's output of good y is denoted as yg . This was a typo.) Consider the following economy with
National Taiwan University - H - 200
Elasticity The price elasticity of demand measures the sensitivity of the quantity demanded to changes in the price. Demand is inelastic if it does not respond much to price changes, and elastic if demand changes a lot when the price changes. Nece
National Taiwan University - ECON - 805
Department of Economics The Ohio State University Final Exam Answers-Econ 805Prof. Peck Winter 2008 1. (40 points) Consider the following two player, zero sum game between an attacker and a defender. The attacker must choose which one of three targe
Cal Poly Pomona - ECON - 162
Pomona College Spring 2006ECONOMICS 162 ADVANCED MICROECONOMIC ANALYSISStephen V. Marks T Th 1:15Office: Carnegie 208, x 7-3342 e-mail: smarks@pomona.eduOffice Hours: MW 10-12, or by appointment Web site: http:/www.economics.pomona.edu/Marks/
National Taiwan University - AEDE - 501
AEDE 501: Pricing Strategy for Agribusiness COURSE SYLLABUS Winter 2003Instructor: Dr. LeeAnn E. Moss 332 Agricultural Administration Building Phone: 688-4248 Fax: 292-0078 E-mail: moss.104@osu.edu Mr. Scott Pearson 241N Agricultural Administration
Michigan State University - ATM - 431
Creating Beautiful Landscapes Is Easy With Rain Bird Drip ProductsDrip Irrigation Made EasyTable of Contents:Water Supply Connections Pages 4-5 Existing System Connections Pages 6-7 How To Water Plants, Shrubs and Trees Pages 8-11 How To Water C
Michigan State University - ATM - 431
Landscape Irrigation Design ManualcContentsForward .v Introduction ..vii Step one: Understanding basic hydraulics ..3Static water pressure .4 Dynamic water pressure ..6 Exercises on basic hydraulics ..9Step two: Obtaining site information .1
National Taiwan University - ECON - 508
Economics 508 Winter 2005 Professor Fleisher Final Examination 36 points There are 3 major questions and 12 subquestions. Limit your answer to each subquestion to 100 words or less.1. (24 points) Here are some quotations from an article, &quot;Does Priva
National Taiwan University - AEDE - 502
AED Economics 502 Production Decision Analysis Spring 2008Instructor: Dr. Marvin T. Batte 333 Agricultural Administration Building (note-prior to May 1, I will be in AA 103) 2120 Fyffe Rd. Columbus, OH 43210-1067 Phone: 292-6406 (Leave message on vo
National Taiwan University - ECON - 502
Problem Set #1 Solutions 1. First, fill out the gross production statements for the coal and steel producers.Raw Materials WagesGross Production Statement (Coal) Costs Receipts Sales of \$0m. Product Inventory \$50m. Change \$25m. Gross Value \$75m.
National Taiwan University - ECON - 520
Print name_ Recitation Day &amp; Hour_Sign name _ Econ 520 F06Homework 3 10/3,10/5, due 10/6 For full credit, show your calculations on each problem. 3.1 (10 homework points) What is the present discounted value of \$1000.00, payable in 8 years and no
Cornell - ECON - 102
Econ 102 Wissink S08 PRELIM #1 Multiple Choice Answer Sheet Instructions: Remove this page from the attached pages. Fill in your name and check your TAs name. Circle opposite each number which of five possible answers you feel is the correct answer
Cal Poly Pomona - ECON - 123
Economics 123Stephen MarksSupport for Infant Industries: An East Asian PerspectiveThe infant industry argument for protection is based on the centuries-old idea (it goes back at least to Alexander Hamilton, the first U.S. Treasury Secretary) th
National Taiwan University - ECON - 508
Economics 508 Winter 2005 Professor Fleisher Final Examination 35 points 1. (4 points). Describe the nature of Indicative Planning as used in India? What were the most important changes that occurred in India's planning system when reform occurred? W
National Taiwan University - H - 200
The Ohio State University Department of Economics Econ. H200 Autumn 2006 Tuesdays and Thursdays 12:30 - 2:18, Derby Hall 62 Prof. James PeckSyllabus: Principles of Microeconomics (Honors)Course Objective: To provide a thorough introduction to econ
National Taiwan University - ECON - 508
Economics 508 Comparative Economic Systems Winter 2006Professor Belton M. FleisherOffice Arps 413 Hours M 4-5 W 4:00-5:30Phone 292 6429Text Books: Required: Paul R. Gregory and Robert C. Stuart, Comparing Economic Systems in the Twenty-First
Cal Poly Pomona - ECON - 190
Pomona College Spring 2005Senior Seminar: The Entertainment IndustriesEconomics 190 Stephen V. MarksOffice: Carnegie 208, x3342, smarks@pomona.eduHours: T 2-4 or by appointmentWe first develop some general foundations within applied microec
Contra Costa College - CS - 691
Paul Erds and Combinatorics o Adrian Bondy It is hard to believe that Paul Erds has, in his words, &quot;left for the land where one needs o no passport&quot;. For many of us, `Uncle Paul' was an integral part of our mathematical lives. A constant traveller, h
Concordia Canada - CS - 691
REMEMBERING PAUL ERDOS Aleksandar Ivic The last time I saw Paul Erds was in May 1995, during the Conference on Analytic Theory held in o Urbana, Ill. in honour of H. Halberstam. It was a beautiful spring day, and we were walking (slowly, as Erds o
Contra Costa College - CS - 352
Data Structures and Algorithms Homework 1 Solution (Problem 1.)(a) In Figure 1, in each node we have two numbers: the black number indicates n, and the red one indicates the return value for this node. (b) X(n) = 2n. This can be proved by induction
Concordia Canada - CS - 352
/* One possible solution for programming problem in assignment 1.The problem is :The evaluation of fully bracketed arithmetic expressions, i.e., expressions like(2 * (3 - 4)/(5 + 3)in which there is a pair of brackets for each arithmetic operati
Concordia Canada - CS - 352
Data Structures and Algorithms Homework 2 Solution (Problem 1.)A: 8n lg n &gt; n3 23n for all integers n greater than 2. B: 8n lg n &lt; n3 23n for n = 1 and n = 2. Justication. A: We will rely on the fact that (ba )c = bac and ba bc = ba+c (Proposition 4
Concordia Canada - CS - 352
Midterm solutions 1. True or false? n3 = O(5n2 lg n), n2 lg n = O(5n3 ), n2 = O(4lg n ), 4lg n = O(n2 ) Solution: n3 = O(5n2 lg n) Justication: n3 /5n2 lg n = n/5 lg n, which can be made arbitrarily large by choosing a suciently large n. n2 lg n = O(
Concordia Canada - CS - 352
Student ID a1p a1t (last 4 digits) (/24) (/6) 0101 0141 0157 1035 1572 1775 1776 1797 1918 2190 2537 4182 4468 4636 4866 5123 5358 5383 5613 5755 5977 6082 6526 6624 6917 6993 7013 7031 7204 7240 7243 7373 7374 7666 7966 8112 8201 8274 8465 8485 8803
Concordia Canada - CS - 352
COMP 352, Winter 2008 Assignment 1Theoretical Component (6 points/30) Choose one of the following three questions, solve it, and submit the hard copy in class on Monday Feb 4. 1. Consider the following recursive function. public static int X(int n)
Contra Costa College - CS - 352
COMP 352, Winter 2008 Assignment 3Theory part (10 points/30) Answer all three questions and submit the hard copy in class on Wednesday March 26. The TA will choose one and grade it. 1. When the nodes of a heap are stored in an array as on p. 338 of
Concordia Canada - CS - 352
COMP 352, Winter 2008 Assignment 4This assignment has no programming part. Answer all six questions. The TA will choose two and grade them. Due on Monday 21 April at 23:59. Submit electronically or place a hard copy in the assignment box in EV3.249.
National Taiwan University - ECON - 502
Consider an economy that consists of a coconut grower, a restaurant, and a government. The coconut grower produces and sells \$1000 worth of coconuts. The grower has no raw material inputs. The coconut producer pays \$700 in wages and \$100 in taxes. Th
UMiami - BIO - 151
Appendix II How to Write a Scientific PaperA good scientist also must be a good writer. All the brilliant research of a lifetime is of little use if the investigator cannot effectively communicate new findings to his or her colleagues. Go to the uni
Texas A&M - ECON - 202
ECONOMICS 202 - EXAM IA - SPRING 20061.In the circular flow diagram of the market economy if we are observing the market in which consumers are suppliers and producers are demanders, this is the location where the _ question(s) of the economic pr
Berkeley - ECON - 121
Department of Economics University of CaliforniaFall 2004 Woroch/Lopez/SydnorEconomics 121 Midterm Frequently Asked QuestionsWhen is the midterm exam? It will be held on Thursday, October 21st, from 12:40 PM to 2:00 PM. Please try to arrive by 1
Cornell - ECON - 301
Economics 301 Fall 2007 PRELIM 1 - J. Wissink Thursday October 4 Directions: ANSWER ALL THE QUESTIONS. Write legibly, concisely, and coherently. Be sure to label all axes, functions, and variables you use. READ QUESTIONS CAREFULLY. Draw pictures w