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15 Pages

### Assignments

Course: MA 366, Spring 2011
School: Purdue
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Word Count: 3282

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366 MA Spring 2011 Assignments For Wednesday 1/12: Read 1.21.3. Do: p. 25: 7, 9, 16 p. 360, The answer to Exercise 8 is given in the back of the text. Substitute the given functions x1 and x2 into the the system to show that they do solve the system. Show that they also satisfy the desired initial conditions stated in the exercise. For Friday 1/14: Read p. 31-39 Do:Exercises : p. 25: 13, 14 p. 360, The answer to...

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Purdue - MA - 366
The Exponential Series1Section 1X = AX X (0) = [1, 1]t 2 1 4 2 (1)We consider the initial value problemwhere A=Then (as you can check) det(A I ) = 2 so the only eigenvalue is = 0. The equation AXo = 0Xo is equivalent with the system xo + 2yo = 0 4xo
Purdue - MA - 366
MA366 Make-up FinalLast Name:First Name:Show all work. A correct answer without supporting work is worth NO credit! (Some calculators can solve dierential equations.) There should be no hard integrals, unless you mess up somewhere. If this happens, jus
Purdue - MA - 366
MA366 FinalLast Name:First Name:Show all work. A correct answer without supporting work is worth NO credit! (Some calculators can solve dierential equations.) There should be no hard integrals, unless you mess up somewhere. If this happens, just leave
Purdue - MA - 366
Purdue - MA - 366
Purdue - MA - 366
Purdue - MA - 366
Chapter 1Systems1.1 On LineIn this introductory section we will pose no exercises, but instead, will detail how to use Maple to solve problems in linear algebra. For the novice Maple user, this section is essential reading and reference. For the experi
Purdue - MA - 366
%!PS (but not EPSF; comments have been disabled) /TeXDict 200 dict def TeXDict begin /N /def load def /Bcfw_bind defN /S /exch load def /Xcfw_S NB /TR /translate load N /isls false N /vsize 10 N /@rigincfw_ islscfw_[0 1 -1 0 0 0]concatif 72 Resolution div
Purdue - IE230 - 230
IE 230Seat # _ Closed book and notes. 60 minutes. Cover page and four pages of exam. Pages 8 and 12 of the Concise Notes. No calculator. No need to simplify answers.Name _ &lt; KEY &gt; _This test is cumulative, with emphasis on Section 4.8 through Section 5
Purdue - IE230 - 230
IE 230Seat # _Name _ Closed book and notes. 60 minutes. Cover page and four pages of exam. No calculator.This exam covers event probabilities and the denition of random variables. Chapter 2 of Montgomery and Runger, fourth edition. A true/false questio
Purdue - IE230 - 230
IE 230Seat # _ Closed book and notes. 60 minutes. Cover page and four pages of exam. No calculator.Name _ &lt; KEY &gt; _This exam covers event probabilities and the denition of random variables. Chapter 2 of Montgomery and Runger, fourth edition. A true/fal
Purdue - IE230 - 230
IE 230Seat # _ Please read these directions.Name _Closed book and notes. 60 minutes. Covers through the normal distribution, Section 4.7 of Montgomery and Runger, fourth edition. Cover page and four pages of exam. Page 8 of the Concise Notes. No calcul
Purdue - IE230 - 230
IE 230Seat # _ Please read these directions. Closed book and notes. 60 minutes.Name _ &lt; KEY &gt; _Covers through the normal distribution, Section 4.7 of Montgomery and Runger, fourth edition. Cover page and four pages of exam. Page 8 of the Concise Notes.
Purdue - IE230 - 230
IE 230Seat # _Name _Closed book and notes. 60 minutes. Cover page and four pages of exam. Pages 8 and 12 of the Concise Notes. No calculator. No need to simplify answers. This test is cumulative, with emphasis on Section 4.8 through Section 5.5 of Mont
Purdue - IE - 230
Quiz 10. April 20, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. Recall: X = in=1 Xi / n Recall: S 2 = [in=1 Xi 2 nX ] / (n 1) Consider a sample containing the data 14.2, 30.4, 8.1, 34.5, 8.7, 5.5. 1. (2 points) Determine the sampl
Purdue - IE - 230
Quiz 1. January 19, 2011Seat # _Name: _Closed book and notes. No calculators. Set theory. For all questions below, consider the universe U = cfw_1, 2, 3, 4, 5, 6. Let E = cfw_2, 4, 6, the set of even integers. Let L = cfw_4, 5, 6, the set of large inte
Purdue - IE - 230
Quiz 1. January 19, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. Set theory. For all questions below, consider the universe U = cfw_1, 2, 3, 4, 5, 6. Let E = cfw_2, 4, 6, the set of even integers. Let L = cfw_4, 5, 6, the set of
Purdue - IE - 230
Quiz 2. January 26, 2011Seat # _Name: _Closed book and notes. No calculators. In probability, we always have an experiment. 1. (1 pt) The set of all _ is called the sample space. 2. (1 pt) Each _ of the experiment results in exactly one outcome. 3. (1
Purdue - IE - 230
Quiz 2. January 26, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. In probability, we always have an experiment. 1. (1 pt) The set of all _ &lt; outcomes&gt; _ is called the sample space. 2. (1 pt) Each _ &lt; replication &gt; _ of the experim
Purdue - IE - 230
Quiz 3. February 4, 2011Seat # _Name: _Closed book and notes. No calculators. Recall: (Total Probability) If B 1, B 2, . . . , Bn partition the sample space S , then P(A ) = P(A | B 1) P(B 1) + P(A | B 2) P(B 2) + . . . + P(A | Bn ) P(Bn ). Questions 1
Purdue - IE - 230
Quiz 3. February 4, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. Recall: (Total Probability) If B 1, B 2, . . . , Bn partition the sample space S , then P(A ) = P(A | B 1) P(B 1) + P(A | B 2) P(B 2) + . . . + P(A | Bn ) P(Bn ). Q
Purdue - IE - 230
Quiz 4. February 16, 2011Seat # _Name: _Closed book and notes. No calculator. Circle all correct answers. 1. (2 pts) For a discrete random variable X , the probability mass function is f X (6) = P(X = 6) P(X &lt; 6) P(X 6) P(X &gt; 6) P(X 6)2. (2 pts) For a
Purdue - IE - 230
Quiz 4. February 16, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. Circle all correct answers. 1. (2 pts) For a discrete random variable X , the probability mass function is f X (6) = P(X = 6) P(X &lt; 6) P(X 6) P(X &gt; 6) P(X 6)2. (2
Purdue - IE - 230
Quiz 5. February 23, 2011Seat # _Name: _Closed book and notes. No calculator. For Questions 15, consider a sequence of units coming off an assembly line. Each is defective with probability 0.01 (and otherwise not defective). Assume that different units
Purdue - IE - 230
Quiz 5. February 23, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. For Questions 15, consider a sequence of units coming off an assembly line. Each is defective with probability 0.01 (and otherwise not defective). Assume that diffe
Purdue - IE - 230
Quiz 6. March 2, 2011Seat # _Name: _Closed book and notes. No calculator. Consider the experiment of choosing a random IE230 class day (that you attend). Let X denote the time (in minutes) that you spend walking to class. (a) (2 points) Sketch the dens
Purdue - IE - 230
Quiz 7. March 23, 2011Seat # _Name: _Closed book and notes. No calculator. From Problem 4-88, Montgomery and Runger, fourth edition. Assume that the distance between major cracks in a highway follows an exponential distribution with a mean of ve miles.
Purdue - IE - 230
Quiz 7. March 23, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. From Problem 4-88, Montgomery and Runger, fourth edition. Assume that the distance between major cracks in a highway follows an exponential distribution with a mean of
Purdue - IE - 230
Quiz 8. March 30, 2011Seat # _Name: _Closed book and notes. No calculator. From Problem 5-1, Montgomery and Runger, fourth edition. probability mass function in the following table. x y f X ,Y (x ,y ) 1 1 0.1 1.5 2 0.3 1.5 3 0.2 2.5 4 0.15 3 5 0.25Con
Purdue - IE - 230
Quiz 8. March 30, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. From Problem 5-1, Montgomery and Runger, fourth edition. probability mass function in the following table. x y f X ,Y (x ,y ) 1 1 0.1 1.5 2 0.3 1.5 3 0.2 2.5 4 0.15 3
Purdue - IE - 230
Quiz 9. April 6, 2011Seat # _Name: _Closed book and notes. No calculator. From Problem 5-17, Montgomery and Runger, fourth edition. Consider the probability density function (pdf) f X ,Y (x , y ) = c x y for 0 x 3, 0 y 3 and zero elsewhere. 1. (2 point
Purdue - IE - 230
Quiz 9. April 6, 2011Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. From Problem 5-17, Montgomery and Runger, fourth edition. Consider the probability density function (pdf) f X ,Y (x , y ) = c x y for 0 x 3, 0 y 3 and zero elsewhere. 1
Purdue - IE - 230
Quiz 10. April 20, 2011Seat # _Name: _Closed book and notes. No calculator. Recall: X = in=1 Xi / n Recall: S 2 = [in=1 Xi 2 nX ] / (n 1) Consider a sample containing the data 14.2, 30.4, 8.1, 34.5, 8.7, 5.5. 1. (2 points) Determine the sample size.2
Purdue - IE - 230
IE 230Probability and Statistics in Engineering, IWeb Page: http:/www.ecn.purdue.edu/ie230/ Spring 2011 MWF 1:30pm, GRIS 180 Professor B.W. Schmeiser Grissom 228 Ofce Hours: Help Sessions: School of Industrial Engineering Purdue Universitybruce@purdue.e
Purdue - IE - 230
Spring 2011IE230 STUDENT INFORMATIONFamily Name: &quot;First&quot; Name:.All is optional.Indentication_ (Ofcial) _(Preferred) _ Security Exam seating Contact OK to return your work in class? Handedness: Email address (write neatly): Telephone number: YES RIGH
Purdue - IE - 230
IE230CONCISE NOTESRevised January 9, 2011Purpose: These concise notes contain the denitions and results for Purdue Universitys course IE 230, &quot;Probability and Statistics for Engineers, I&quot;. The purpose of these notes is to provide a complete, clear, and
Purdue - IE - 330
IE 330Seat # _Name _Open book and notes. 120 minutes. Cover page and six pages of exam. No calculators.Score _Final Exam (example)SchmeiserIE 330 Probability &amp; Statistics in Engineering IIName _Open book and notes. No calculator. 120 minutes.1.
Purdue - IE - 330
IE 330Seat # _ Open book and notes. 120 minutes. Cover page and six pages of exam. No calculators.Name _ &lt;KEY &gt; _Score _Final Exam (example)SchmeiserIE 330 Probability &amp; Statistics in Engineering IIName _ &lt;KEY &gt; _Open book and notes. No calculator
Purdue - IE - 330
IE 330Seat # _ Open book and notes. 120 minutes.Name _ &lt; KEY &gt; _Covers Chapters 8 through 14 of Montgomery and Runger (fourth edition). Cover page and eight pages of exam. No calculator.(2 points) I have, or will, complete a course evaluation._ .sign
Purdue - IE - 330
IE 330Seat # _Name _Open book and notes. 120 minutes. Covers Chapters 8 through 14 of Montgomery and Runger (fourth edition). Cover page and eight pages of exam. No calculator.(2 points) I have, or will, complete a course evaluation._ .sign here.NEI
Purdue - IE - 230
IE 230Seat # _ Closed book and notes. 120 minutes. Cover page, ve pages of exam. No calculator. No need to simplify answers.Name _ &lt; KEY &gt; _(2 points) I have, or will, complete a course evaluation._ .sign here.Score _ &lt; ? / 102 &gt; _Final Exam, Fall 2
Purdue - IE - 230
IE 230Seat # _(Neatly, 1 pt) Name _ Closed book and notes. 60 minutes. Cover page and four pages of exam. No calculator.This test covers event probability, Chapter 2 of Montgomery and Runger, fourth edition.Score _Exam #1, September 21, 2010Schmeise
Purdue - IE - 230
IE 230Seat # _(Neatly, 1 pt) Name _ &lt; KEY &gt; _ Closed book and notes. 60 minutes. Cover page and four pages of exam. No calculator.This test covers event probability, Chapter 2 of Montgomery and Runger, fourth edition.Score _Exam #1, September 21, 201
Purdue - IE - 230
IE 230Seat # _ Please read these directions.Name _Closed book and notes. 60 minutes. Covers through the normal distribution, Section 4.6 of Montgomery and Runger, fourth edition. Cover page and four pages of exam. Pages 8 and 12 of the Concise Notes. A
Purdue - IE - 230
IE 230Seat # _ Please read these directions. Closed book and notes. 60 minutes.Name _ &lt; KEY &gt; _Covers through the normal distribution, Section 4.6 of Montgomery and Runger, fourth edition. Cover page and four pages of exam. Pages 8 and 12 of the Concis
Purdue - IE - 230
IE 230Seat # _Name _Closed book and notes. 60 minutes. Cover page and four pages of exam. Pages 8 and 12 of the Concise Notes. No calculator. No need to simplify answers. This test is cumulative, with emphasis on Section 4.7 through Chapter 6 of Montgo
Purdue - IE - 230
IE 230Seat # _ Closed book and notes. 60 minutes. Cover page and four pages of exam. Pages 8 and 12 of the Concise Notes. No calculator. No need to simplify answers.Name _ &lt; KEY &gt; _This test is cumulative, with emphasis on Section 4.7 through Chapter 6
Purdue - IE - 230
IE 230Seat # _Name _Closed book and notes. 120 minutes. Cover page, ve pages of exam. No calculator. No need to simplify answers.(2 points) I have, or will, complete a course evaluation._ .sign here.Score _Final Exam, Fall 2010 (Dec 13)SchmeiserI
Purdue - IE - 230
Quiz 10. November 17, 2010Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. Recall 1: Cov(X , Y ) = E[ (X X ) (Y Y ) ] Recall 2: X ,Y = Corr(X , Y ) = Cov(X , Y ) / (X Y ) Recall 3: E[c 0+ik=1 Xi ] = c 0+ik=1 E(Xi ) Recall 4: Var[c 0+ik=1
Purdue - IE - 230
Quiz 1. September 1, 2010Seat # _Name: _Closed book and notes. No calculators. Set theory. For all questions below, consider the universe U composed of persons in this room now. Let B denote the set of all students born in Indiana, M the set of all men
Purdue - IE - 230
Quiz 1. September 1, 2010Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. Set theory. For all questions below, consider the universe U composed of persons in this room now. Let B denote the set of all students born in Indiana, M the set
Purdue - IE - 230
Quiz 2. September 8, 2010Seat # _Name: _Closed book and notes. No calculators. In probability, we always have an experiment. 1. (1 pt) The set of all outcomes is called the _. 2. (1 pt) Each replication of the experiment results in exactly one _. 3. (1
Purdue - IE - 230
Quiz 2. September 8, 2010Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. In probability, we always have an experiment. 1. (1 pt) The set of all outcomes is called the _ &lt; sample space &gt; _. 2. (1 pt) Each replication of the experiment re
Purdue - IE - 230
Quiz 3. September 15, 2010Seat # _Name: _Closed book and notes. No calculators. Remember. For T/F questions, a statement is true only if it is always true. Below, assume that all probabilities mentioned are not zero.1. (2 pts) The denition of conditio
Purdue - IE - 230
Quiz 3. September 15, 2010Seat # _Name: _Closed book and notes. No calculators. Remember. For T/F questions, a statement is true only if it is always true. Below, assume that all probabilities mentioned are not zero. 1. (2 pts) The denition of conditio
Purdue - IE - 230
Quiz 4. September 29, 2010Seat # _Name: _Closed book and notes. No calculators. Remember. You do not need to simplify answers. Consider ipping a coin twice, independently. For i = 1, 2, let Hi denote that ip i results in &quot;heads&quot; facing up. Let X denote
Purdue - IE - 230
Quiz 4. September 29, 2010Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculators. Remember. You do not need to simplify answers. Consider ipping a coin twice, independently. For i = 1, 2, let Hi denote that ip i results in &quot;heads&quot; facing up. Le
Purdue - IE - 230
Quiz 5. October 6, 2010Seat # _Name: _Closed book and notes. No calculator. For each question, provide the name of the corresponding family of distributions. 1. (1 pt) The 100 coin ips, the number that results in &quot;tails&quot;.2. (1 pt) The number of coin i
Purdue - IE - 230
Quiz 5. October 6, 2010Seat # _Name: _ &lt; KEY &gt; _Closed book and notes. No calculator. For each question, provide the name of the corresponding family of distributions. 1. (1 pt) The 100 coin ips, the number that results in &quot;tails&quot;. binomial 2. (1 pt) T
Purdue - IE - 230
Quiz 6. October 13, 2010Seat # _Name: _Closed book and notes. No calculator. Consider the probability density function f X (y ) = 0.1 for 0 y c and zero elsewhere. 1. (2 pt) Show that c = 10.2. (2 pt) Determine the value of f X (5.6).3. (2 pt) Determ
Purdue - IE - 230
Quiz 6. October 13, 2010Seat # _Name: _Closed book and notes. No calculator. Consider the probability density function f X (y ) = 0.1 for 0 y c and zero elsewhere. 1. (2 pt) Show that c = 10. _ Set 1 = f X (y ) dy = (0.1) dy = 0.1c and solve for c . 0