# 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

Course: MATH 105, Winter 2009
School: Walla Walla University
Rating:

Word Count: 412

#### Document Preview

II Exam - Answers to Review Sheet MATH 105, Spring 2005 1. A committee contains 8 women and 4 men. They wish to choose a subcommittee of 4 members. If this subcommittee is chosen at random, what is the probability that: (a) All Men: C(4,4) C(12,4) = 1 495 .002 = 168 495 (b) Two of Each: C(8,2)C(4,2) C(12,4) .339 1 .002 = .998 (c) At least one woman: 1 (d) At least one of each: 1 (e) Pam on the...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Washington >> Walla Walla University >> MATH 105

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.
II Exam - Answers to Review Sheet MATH 105, Spring 2005 1. A committee contains 8 women and 4 men. They wish to choose a subcommittee of 4 members. If this subcommittee is chosen at random, what is the probability that: (a) All Men: C(4,4) C(12,4) = 1 495 .002 = 168 495 (b) Two of Each: C(8,2)C(4,2) C(12,4) .339 1 .002 = .998 (c) At least one woman: 1 (d) At least one of each: 1 (e) Pam on the committee: C(4,4) C(12,4) C(4,4) C(12,4) C(8,4) C(12,4) 165 495 =1 1 495 70 495 = 424 495 .857 C(11,3) C(12,4) = .333 2. An urn contains 12 numbered balls: 8 red and 4 blue. Three of the red balls have even numbers, and 1 of the blue has an even number. The rest of the balls have odd numbers. (a) P r[red] = 8 12 = 2 3 3 12 4 12 (b) P r[red|even] = (c) P r[odd] = 8 12 = 3 4 = 2 3 3 12 4 12 (d) P r[odd|blue] = = 3 4 (e) No - both probabilities change 3. In the experiment above, suppose that you pay \$1.00 to draw a ball. An odd numbered red ball gets you nothing, an even numbered red pays \$1.00 back, an odd numbered blue gets \$5.00, and the even numbered blue gets you \$10.00. What is the expected value? Value -1 0 4 9 Probability 5/12 3/12 3/12 1/12 Total: Product 5/12 0 12/12 9/12 16/12 1.33 4. A widget factory creates two types of widgets: type A and type B. Type A widgets are defective 5% of the time, and type B widgets are defective 10% of the time. If the factory produces 20 type A and 60 type B widgets in a given day, and a randomly selected widget is defective, what is the probability that it is type A? If a randomly selected widget is defective, not what is the probability it is type B? .05 D .0125 A 20/80 .95 N .2375 (a) P r[A|D] = (b) P r[B|N] = .0125 .0125+.075 .4129 .7400 60/80 .10 D .075 .676 .2375+.676 B .90 N .676 5. A student takes a multiple choice test made up of 10 questions. Each question has ve possible answers, one of which is correct. (a) P r[6 correct] = C(10, 6) (b) (c) 1 6 4 4 .006 5 5 8 4 2 P r[at least 8] = C(10, 8) 1 + C(10, 9) 5 5 1 Expected Score = np = 10 3 = 3.3 1 9 5 4 1 5 1 10 5 4 0 5 + C(10, 10) .000078 (d) Normal Distribution with = np = 50 x score of 15 gives a Z-score Z = = from the table, the area above 1.77 is .5 .4616 = .0384. So, the probability of scoring 15 or more is only .0384, or 3.84%. 6. Answers follow 1 5 = 10 and 3015 2.83 1.77 and = npq = 30 1 5 4 5 2.83, the 5 4 3 2 1 (a) 6 9 12 15 18 (b) Median: 12, Mode: Trimodal with 11, 12, and 18. (c) Mean: X = 15+11+18+6 4 = 12.5, StDev: S = 1...

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:

Walla Walla University - MATH - 105
Exam III Review SheetMATH 105, Winter 2005This exam will cover sections 9.6, 1.1-1.3, and 2.1-2.3 in your text. You should know general terms and definitions from each of these sections, review the homework and quizzes given for these sections, and
Walla Walla University - MATH - 105
Math with Applications (MATH 105)Tentative Schedule, Spring Quarter 2003Last Modied 24 March 2003Week 12345678910Section &amp; Topic Homework Assignment Course Introduction, 3.1: Sets pg 70: 4,5,11,15,18,20,22,23,26 3.2: Subsets p
Walla Walla University - MATH - 105
Final Exam Review SheetMATH 105, Spring 2003This exam will cover sections 3.1-4.5, 5.1,3, and 4, 8.1-9.4, 10.3 and 10.4, and the supplement. You should know general terms and denitions from each of these sections and review the homework, quizzes, a
Walla Walla University - MATH - 105
Exam I Review SheetMATH 105, Spring 2003This exam will cover sections 3.1-4.5 in your text. You should know general terms and denitions from each of these sections, review the homework and quizzes given for these sections, and pay particular attent
Walla Walla University - MATH - 105
Exam I Review SheetMATH 105, Spring 2005This exam will cover sections 6.1-7.3 in your text, omitting section 6.6. You should know general terms and definitions from each of these sections, review the homework and quizzes given for these sections, a
Walla Walla University - MATH - 105
Chapter 1Linear Equations1.1 Graphs of Linear EquationsAn equation involving two variables, say x and y, is simply a way of relating the values of those variables. When the x and y appear outside of exponents, roots, or other functions, we call
Walla Walla University - MATH - 105
Pairs of LinesPerpendicular LinesConclusionMATH 105: Finite Mathematics 1-2: Pairs of LinesProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Pairs of LinesPerpendicular LinesConclusionOutline1Pairs of Lines2Perpend
Walla Walla University - MATH - 105
Developing CombinationsExamples of CombinationsCombinations vs. PermutationsConclusionMATH 105: Finite Mathematics 6-5: CombinationsProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Developing CombinationsExamples of Combina
Walla Walla University - MATH - 105
VocabularyTypes of DataSamplesConclusionMATH 105: Finite Mathematics 9-1: Introduction to StatisticsProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006VocabularyTypes of DataSamplesConclusionOutline1Vocabulary Types
Walla Walla University - MATH - 105
Rectangular Coordinate SystemGraphing LinesThe Equation of a LineConclusionMATH 105: Finite Mathematics 1-1: Rectangular Coordinates, LinesProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Rectangular Coordinate SystemGraphi
Walla Walla University - MATH - 105
Bernoulli Probability and the Normal DistributionProperties of the Normal DistributionExamplesConclusionMATH 105: Finite Mathematics 9-6: The Normal DistributionProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Bernoulli Proba
Walla Walla University - MATH - 105
Introduction to Linear ProgrammingSystems of Linear InequalitiesRegions in the PlaneConclusionMATH 105: Finite Mathematics 3-1: The Inverse of a MatrixProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Introduction to Linear Pr
Walla Walla University - MATH - 105
Probability of Combined EventsProbability and Venn DiagramsOddsConclusionMATH 105: Finite Mathematics 7-2: Properties of ProbabilityProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Probability of Combined EventsProbability
Walla Walla University - MATH - 105
Measuring DispersionRangeStandard DeviationChebychev's TheoremConclusionMATH 105: Finite Mathematics 9-5: Measures of DispersionProf. Jonathan DuncanWalla Walla CollegeWinter Quarter, 2006Measuring DispersionRangeStandard Deviatio
Walla Walla University - MATH - 281
Exam II Review SheetMATH 281, Spring 2004This exam will cover sections 5.6-6.3 in your text. You should know general terms and definitions from each of these sections, review the homework given for these sections, and pay particular attention to th
Walla Walla University - MATH - 281
Final Exam Review SheetMATH 281, Winter 2006This exam will cover sections 4.5-8.8 in your text. You should know general terms and definitions from each of these sections, review previous exams, homework assignments, and review sheets, and pay parti
Walla Walla University - MATH - 281
Analytic Geometry and Calculus II (MATH 281)Spring Quarter, 2004Time/Place: Instructor: Oce: Oce Hours: Text: Webpage: Calculator: MWRF 8:00-8:50 a.m. KRH 203Jonathan Duncan (duncjo@wwc.edu) Kretchmar Hall 330, phone: 527-2097 10:00 MWRF, 12:00 T
Walla Walla University - MATH - 281
Analytic Geometry and Calculus II (MATH 281)Winter Quarter, 2006Time/Place: Instructor: Office: Office Hours: Text: Webpage: Calculator: MTWF 9:00-9:50 a.m. KRH 345Jonathan Duncan (duncjo@wwc.edu) Kretchmar Hall 330, phone: 527-2097 10:00 MTWF, 1
Walla Walla University - MATH - 281
Exam I Review SheetMATH 281, Winter 2006This exam will cover sections 4.4-5.5 in your text. You should know general terms and denitions from each of these sections, review the homework given for these sections, and pay particular attention to the s
Walla Walla University - MATH - 281
Exam I Review SheetMATH 281, Spring 2004This exam will cover sections 4.4-5.5 in your text. You should know general terms and denitions from each of these sections, review the homework given for these sections, and pay particular attention to the s
Walla Walla University - ENGR - 480
Mathematical Modeling of Assembly Coordinate frames each part has a base coordinate frame Relationships between parts are expressed as 4x4 matrix transformsMatrix Math 4x4 matrices relate adjacent frames Matrix contains rotational part and tr
Walla Walla University - ENGR - 480
ENGR480Final Documentation Requirements2008-06-06The documentation for your lab project will be in the form of a manual for the operation of your machine. This manual must include: Instructions for: a. specifying number of turns on stator windi
Walla Walla University - ENGR - 480
Puzzazzle, Inc.MemoTo: Date: From: Subject: SummaryManufacturing Design Teams 2006-03-28 Ralph Stirling Puzzle piece manufacturing system specificationsThe 2006 model burr puzzle piece production system must meet specific criteria for entry an
Walla Walla University - ENGR - 480
F0-04AD-1 4-Channel Analog Current InputIn This Chapter. . . .10 Module Specifications Setting the Module Jumper Connecting and Disconnecting the Field Wiring Wiring Diagram Module Operation Special V-memory Locations Using the Pointer in
Walla Walla University - ENGR - 480
CREDITSExtract of the book: The Fascinating World of Sheet MetalThe Fascinating World of Sheet Metal Publisher and Editor: TRUMPF GmbH + Co. Johann Maus Strae 2 71254 Ditzingen Federal Republic of Germany Authors: Dr. Hubert Bitzel, Johanna Borch
Walla Walla University - ENGR - 480
Wiring and Factory Communications Big factories use lots of cable Some cables carry signals, some power Power sources and loads generate noise Noise in the signals causes havocDealing with Electrical Noise Strategies for combating noise- redu
Walla Walla University - TYPO - 3
From lyle.dodge at wwc.edu Thu Jun 30 08:28:59 2005From: lyle.dodge at wwc.edu (Lyle E. Dodge)Date: Fri Jul 13 11:11:25 2007Subject: [Typo3-announce] Typo3 UpdateMessage-ID: &lt;42C40FBB.7060108@wwc.edu&gt;-BEGIN PGP SIGNED MESSAGE-Hash: SHA1Good
Walla Walla University - CPTR - 350
3.10Historical Perspective and Further ReadingGresham's Law (&quot;Bad money drives out Good&quot;) for computers would say, &quot;The Fast drives out the Slow even if the Fast is wrong.&quot;W. Kahan, 1992This section surveys the history of the floating point go
Walla Walla University - CPTR - 350
2.20Historical Perspective and Further ReadingThis section surveys the history of instruction set architectures over time, and we give a short history of programming languages and compilers. ISAs include accumulator architectures, general-purpose
Walla Walla University - ENGR - 434
Introduction to CMOS VLSI DesignChapter 1: IntroductionCurtis Nelson Walla Walla UniversityIntroductionIntegrated circuits Many transistors on one chipVery Large Scale Integration (VLSI) Very many transistorsComplementary Metal Oxide Semi
Walla Walla University - ENGR - 434
Curtis Nelson Walla Walla CollegeScaling Transistors Interconnect Future challenges VLSI EconomicsScaling and EconomicsCMOS VLSI DesignSlide 21In 1965, Gordon Moore predicted the exponential growth of the number of transistors on an IC
Walla Walla University - ENGR - 221
AnnouncementsEquilibrium of a Rigid BodyToday's Objectives Identify support reactions Draw a free body diagramClass Activities Applications Support reactions Free body diagrams ExamplesEngr221 Chapter 51ApplicationsA 200 kg platfor
Walla Walla University - CPTR - 350
Further ReadingChapter 1Barroso, L. and U. Hlzle [2007]. &quot;The case for energy-proportional computing,&quot; IEEE Computer, December. A plea to change the nature of computer components so that they use much less power when lightly utilized. Bell, C. G.
Walla Walla University - ENGR - 434
Curtis Nelson Walla Walla CollegeTransistor I-V Review Non-ideal Transistor Behavior Velocity Saturation Channel Length Modulation Body Effect Leakage Temperature SensitivityProcess and Environmental Variations Process CornersNonideal Tra
Walla Walla University - ENGR - 434
Curtis Nelson Walla Walla CollegeCircuit Pitfalls Detective puzzle Given circuit and symptom, diagnose cause and recommend solution All these pitfalls have caused failures in real chipsNoise Budgets ReliabilityReliable Circuit DesignCMOS V
Walla Walla University - ENGR - 434
Walla Walla University - ENGR - 434
Introduction to CMOS VLSI DesignChapter 1: Circuits &amp; LayoutCurtis Nelson Walla Walla UniversityOutlineCMOS Gate Design Pass Transistors CMOS Latches &amp; Flip-Flops Standard Cell Layouts Stick DiagramsChapter 1 - Circuits and LayoutCMOS VLSI
Walla Walla University - ENGR - 480
Generating Motion Moving a part does not add any value to the part Moving a tool does not add any value unless it is working on the part So we want to avoid unnecessary motion of parts and tools Metal machining batch factory: 95% of a parts time
Walla Walla University - ENGR - 480
DL06 User ManualManual Number: D0-06USER-MVolume 2 of 2WARNINGThank you for purchasing automation equipment from Automationdirect.comTM. We want your new automation equipment to operate safely. Anyone who installs or uses this equipment should
Walla Walla University - ENGR - 480
Manufacturing for the other 90%Manufacturing for the other 90% Poor city people in Kenya may spend 30% of their income on public transportation. Boda-Boda bicycle taxi/messengers fill a vital role in Kenyan transportation The Boda-Boda is just
Walla Walla University - MATH - 283
Final Exam Review SheetMATH 283, Winter 2008This exam will cover sections 13.1-15.8 in your text. You should know general terms and definitions from each of these sections, review the homework and previous exams, and pay particular attention to the
Walla Walla University - MATH - 283
Analytic Geometry and Calculus IV (MATH 283)Winter Quarter, 2005Time/Place: Instructor: Oce: Oce Hours: Text: Webpage: Calculator: MWHF 8:00-8:50 a.m. KRH 205Jonathan Duncan (duncjo@wwc.edu) Kretchmar Hall 330, phone: 527-2097 10:00 MWHF, 2:00 TR
Walla Walla University - MATH - 283
Exam II Review SheetMATH 283, Winter 2008This exam will cover sections 13.10-14.7 in your text. You should know general terms and denitions from each of these sections, review the homework given for these sections, and pay particular attention to t
Walla Walla University - MATH - 283
Exam II Review SheetMATH 283, Winter 2005This exam will cover sections 12.10-13.7 in your text. You should know general terms and denitions from each of these sections, review the homework given for these sections, and pay particular attention to t
Walla Walla University - MATH - 283
Exam III Review SheetMATH 283, Winter 2005This exam will cover sections 13.8-14.6 in your text. You should know general terms and definitions from each of these sections, review the homework given for these sections, and pay particular attention to
Walla Walla University - MATH - 283
Exam I Review SheetMATH 283, Winter 2005This exam will cover sections 12.1-12.9 in your text. You should know general terms and denitions from each of these sections, review the homework given for these sections, and pay particular attention to the
Walla Walla University - ENGR - 433
Using A Logic Analyzer (Tek TLA5201)ENGR433 Digital Design Fall 2004Basic Steps 1. Turn on 2. Setup Channels 3. Trigger Definition 4. Waveform Configuration 5. Acquire DataChannel Setup Connect probes Black wire is ground Signal wires ar
Walla Walla University - ENGR - 480
Chapter 1: Getting StartedQuick StartThis example is not intended to tell you everything you need to know about programming and starting-up a complex control system. It is only intended to give you an opportunity to demonstrate to yourself and oth
Walla Walla University - MATH - 122
Exam I Review SheetMATH 122, Winter 2004This exam will cover sections 6.1-6.9 in your text. You should know general terms and denitions from each of these sections, review the homework and quizzes given for these sections, and pay particular attent
Walla Walla University - MATH - 122
Fundamentals of Mathematics II (MATH 122)Winter Quarter, 2004Time/Place: Instructor: Office: Office Hours: Text: Webpage: MWRF 10:00-10:50 a.m. KRH 347Jonathan Duncan (duncjo@wwc.edu) Kretchmar Hall 330, phone: 527-2097 10:00 T, 11:00 R, 1:00 MTW
Walla Walla University - MATH - 122
Solutions to Exam II Review SheetMATH 122, Spring 20041. Verify each identity below. (a) (1 - cos x)(csc x + cot x) = sin x (1 - cos x)(csc x + cot x) = (1 - cos x) 1 cos x + sin x sin x 1 cos x cos x cos2 x = - + - sin x sin x sin x sin x cos2 x 1
Walla Walla University - MATH - 122
Exam III Review SheetMATH 122, Winter 2008This exam will cover sections 8.4, 9.1-9.5, and 11.1-11.3 from your text. You should know general terms and definitions from each of these sections, review the homework and quizzes given for these sections,
Walla Walla University - MATH - 122
Final Exam Review SheetMATH 122, Winter 2008The nal exam will cover all sections seen in class. You should know general terms and denitions from each of these sections. Review previous exams, quizzes, homework assignments, and review sheets, and pa
Walla Walla University - MATH - 122
Exam II Review SheetMATH 122, Winter 2008This exam will cover sections 6.5-8.2 in your text. You should know general terms and denitions from each of these sections, review the homework and quizzes given for these sections, and pay particular atten
Walla Walla University - MATH - 122
Exam III Review SheetMATH 122, Winter 2004This exam will cover sections 8.5-8.7, 9.1-9.2, 10.4, 10.6, and 11.1 in your text. You should know general terms and denitions from each of these sections, review the homework and quizzes given for these se
Walla Walla University - MATH - 122
Exam I Review SheetMATH 122, Winter 2008This exam will cover sections 5.1-6.4 in your text. You should know general terms and definitions from each of these sections, review the homework and quizzes given for these sections, and pay particular atte
Walla Walla University - MATH - 122
Final Exam Review SheetMATH 122, Winter 2004This exam will cover sections 6.1-8.7, 9.1-9.2, 10.4, 10.6, and 11.1-11.4 in your text. You should know general terms and denitions from each of these sections. Review previous exams, quizzes, homework as
Walla Walla University - MATH - 122
Exam III Answers for Review SheetMATH 122, Spring 20041. Convert each equation from polar to rectangular or rectangular to polar form and graph. (a) x2 + y 2 = 10x (b) r = 6 sin (c) x2 + y 2 = 36 3 2 x(d) y =2. Plot each point in the complex
Walla Walla University - ENGR - 355
Walla Walla University - ENGR - 221
Announcements Test observations Units Significant figures Position vectorsMoment of a ForceTodays Objectives Understand and define Moment Determine moments of a force in 2-D and 3-D casesMoment of a forceClass Activities Applications
Walla Walla University - ENGR - 221
Announcements Mountain Dew is an herbal supplementTrusses Method of JointsToday's Objectives Define a simple truss Determine the forces in members of a simple truss Identify zero-force membersClass Activities Applications Simple trusses