# 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.

4 Pages

### ch 5 problems binomial

Course: MATH 1127, Spring 2008
School: Columbus State University
Rating:

Word Count: 652

#### Document Preview

5 Chapter - Additional Practice Problems Binomial Distribution MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 12 1) 2 A) 66 20 1 A) 19 B) 21 C) 1 D) 20 B) 3,628,800 C) 7,257,600 D) 6 1) 2) 2) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 3) A coin is biased so...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Georgia >> Columbus State University >> MATH 1127

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.
5 Chapter - Additional Practice Problems Binomial Distribution MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 12 1) 2 A) 66 20 1 A) 19 B) 21 C) 1 D) 20 B) 3,628,800 C) 7,257,600 D) 6 1) 2) 2) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 3) A coin is biased so that the probability it will come up tails is 0.47. The coin is tossed three times. Considering a success to be tails, formulate the process of observing the outcome of the three tosses as a sequence of three Bernoulli trials. Complete the table below by showing each possible outcome together with its probability. Display the probabilities to three decimal places. List the outcomes in which exactly two of the three tosses are tails. Without using the binomial probability formula, find the probability that exactly two of the three tosses are tails. Outcome Probability hhh (0.53)(0.53)(0.53) = 0.149 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated binomial probability. 4) What is the probability that 6 rolls of a fair die will show four exactly 2 times? A) 0.00670 B) 0.01340 C) 0.41667 D) 0.20094 5) 4) 3) 5) A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the probability of getting exactly 3 defects in a batch. A) 2.6665 Find the indicated probability. 6) A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? A) 0.055 B) 0.117 C) 0.945 D) 0.172 B) 2.88 C) 0.22105 D) 3453.87152 6) 7) A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working. A) 0.029 B) 0.033 C) 0.967 D) 0.996 7) 8) An airline estimates that 96% of people booked on their flights actually show up. If the airline books 80 people on a flight for which the maximum number is 78, what is the probability that number the of people who show up will exceed the capacity of the plane? A) 0.1272 B) 0.0382 C) 0.3748 D) 0.1654 8) 1 Find the mean of the binomial random variable. 9) The probability that a person has immunity to a particular disease is 0.6. Find the mean for the random variable X, the number who have immunity in samples of size 26. A) 13.0 B) 15.6 C) 10.4 D) 0.6 10) 9) 10) In a certain town, 90 percent of voters are in favor of a given ballot measure and 10 percent are opposed. For groups of 220 voters, find the mean for the random variable X, the number who oppose the measure. A) 10 B) 198 C) 90 D) 22 Find the standard deviation of the binomial random variable. 11) On a multiple choice test with 16 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the random variable X, the number of correct answers. A) 1.732 B) 1.643 C) 1.697 D) 1.677 11) Find the specified probability distribution of the binomial random variable. 12) In one city, 21% of the population is under 25 years of age. Three people are selected at random from the city. Find the probability distribution of X, the number among the three that are under 25 years of age. A) x P(X = x) 0 0.4930 1 0.3932 2 0.0925 3 0.0213 B) x P(X = x) 0 0.4930 1 0.1311 2 0.0348 3 0.0093 C) x P(X = ...

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:

Columbus State University - MATH - 1127
Chapter 8 - Practice ProblemsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A hypothesis test is to be performed. Determine the null and alternative hypotheses. 1) In the past, the mean running
Columbus State University - MATH - 1127
Chapter 10 - Additional Practice ProblemsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the regression equation for the data. Round the final values to three significant digits, if ne
Columbus State University - MATH - 1131
Sample Final ExamProblem 1) The graph of f ( x) is given below. Estimate the following values. (1 point each)8y 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 x 6a) lim+ f ( x ) =x -6b) lim- f ( x ) =x -3c) lim+ f ( x ) =x -3d) lim- f ( x
Columbus State University - MATH - 2115
Introduction to linear AlgebraIntroduction and OverviewLinear algebra is a number of things, including: an area of mathematical study that is accessible to students who have completed at least one semester of calculus, an introduction to some of
Columbus State University - MATH - 2115
Section 1.2 - Row Reduction and Echelon FormsRow Reduction and Echelon Forms In this section we refine the method of section1.1 into a row reduction algorithm that will enable us to analyze any linear system. By using the first part of the algor
Columbus State University - MATH - 2115
Section 1.3 Vector EquationsVectors in an A matrix with only one column is called acolumn vector or simply a vector. Vectors will be denoted, in general, by lower caserLatin r r letters with an arrow on top such as a , u , v ,K Examples: 3
Columbus State University - MATH - 2115
Section 1.4 r r The Matrix Equation Ax = bMain Idea The fundamental idea of this section is to viewlinear combination of vectors as the product of a matrix and a vector.Definitionr r r If A is an m x n matrix, with columns a1 , a2 ,K , an , an
Columbus State University - MATH - 2115
Section 1.7 Linear IndependenceImportant DefinitionExampleLinear Independence of Matrix ColumnsLinear Independence of Matrix ColumnsSpecial Cases to RememberThus, in this case, we haveGraphicallyLinearly Dependent Sets
Columbus State University - MATH - 2115
Section 1.8 Introduction to Linear TransformationsMatrix TransformationsTerminology:Matrix Transformations A matrix transformation is a transformation T(x)which is computed as a matrix multiplication, that is, a matrix transformation has the
Columbus State University - MATH - 2115
Section 1.9 The Matrix of a Linear TransformationIdentity TransformationMatrix of a Linear TransformationsDefinitionDefinitionExampleTwo More Theorems
Columbus State University - MATH - 2115
Section 2.1 Matrix Operationsj th columni th rowEquality We say that two matrices A and B are equal ifthey have the same size mn and aij=bij for 1 i m and 1 j n.Addition If A and B are 2 mn matrices then A+B is themn matrix with entrie
Columbus State University - MATH - 2115
Section 2.2 The Inverse of a MatrixDefinitionExample1 9 4 -4 A = invertible because there is C = is 2 - 9 2 1 such that AC = CA = I 21 4 9 AC = 2 2 9 - 9 -4 1 CA = 2 - 2 1 -4 0 1 = 1 1 0 4 0 1 = 1 9 0Example
Columbus State University - MATH - 2115
Section 2.3 Characterizations of Invertible MatricesTheorem 8 The Invertible Matrix TheoremInvertible Linear TransformationsDefinitionTheorem 9
Columbus State University - MATH - 2115
Section 2.8 Subspaces ofnDefinition In other words a subspace is closed underaddition and scalar multiplication.Example 1 If v1 and v2 are in Rn andH = Span{v1, v2}, then H is a subspace of Rn. To verify this statement, note that the zer
Columbus State University - MATH - 2115
Section 2.9 Dimension and RankCoordinate Systems The main reason for selecting a basis for asubspace H, instead of merely a spanning set, is that each vector in H can be written in only one way as a linear combination of the basis vectors. To se
Columbus State University - MATH - 2115
Sections 3.1 and 3.2 Introduction to Determinants Properties of DeterminantsNotation Aij is the matrix obtained from matrix A bydeleting the ith row and jth column of A. ExampleNotation Aij is the matrix obtained from matrix A bydeleting the
Columbus State University - MATH - 2115
Sections 5.1 Eigenvectors and EigenvaluesGeometric InterpretationDefinitionGeometric InterpretationDefinition - Eigenspace The eigenspace space of a matrix A correspondingto is the set Eh= {xS Rn : (A- I)x = 0}EigenspaceConclusionCon
Columbus State University - MATH - 2115
Sections 5.2 The Characteristic EquationTheorem The Invertible Matrix Theorem continuedDefinitionDefinition - SimilarityTheorem 4ExampleExample Find p(h) = | A - hI |, the characteristicpolynomial, the eigenvalues, and the eigenvector
Columbus State University - MATH - 2115
Sections 5.3 Diagonalization The goalin this section is to develop a useful factorization A = PDP-1, where A is nn and D is a diagonal matrix (i.e. entries off the main diagonal are all zeros). Then we can use this to compute Ak quickly for larg
Columbus State University - MATH - 2115
Sections 6.1 Inner Product, Length and OrthogonalityNot all linear systems have solutionsGeometric InterpretationInner Product or Dot ProductInner Product or Dot ProductExampleInner Product or Dot ProductLength of a VectorLength of a
Columbus State University - MATH - 2115
Sections 6.2 Orthogonal SetsDefinition A set of vectors {u1, . . . , up} in Rn is said tobe an orthogonal set if each pair of distinct vectors from the set is orthogonal, that is, if uiuj = 0 whenever i j .Theorem 4Definition An orthogonal
Columbus State University - MATH - 1127
Getting Started with the TI-83 Graphing Calculator1Getting Started with the TI-83 and TI-83 Plus Graphing Calculators4 OverviewThis manual is designed to be used with the TI-83, the TI-83 Plus and the TI-83 Silver Edition Graphing Calculators.
Columbus State University - MATH - 1127
Technology5Introduction to Statistics4 Technology (pg. 30-31) Generating Random NumbersCHAPTER1To generate a random sample of integers, press MATH and the Math Menu will appear.Use the blue right arrow key, 4 , to move the cursor to high
Columbus State University - MATH - 1127
10 Chapter 2 Descriptive StatisticsCHAPTERDescriptive StatisticsSection 2.14 Example 7 (pg. 42) Constructing a histogram for a frequency distribution2To create this histogram, you must enter information into List1 (L1) and List 2 (L2). Refe
Columbus State University - MATH - 1127
Section 4.153Discrete Probability DistributionsSection 4.14Example 5 (pg. 176) Mean of a Probability DistributionCHAPTER4Press STAT and select 1:EDIT. Clear L1 and L2. Enter the X-values into L1 and the P(x) values into L2. Press STAT and
Columbus State University - MATH - 1127
Section 5.263Normal Probability DistributionsSection 5.24Example 3 (pg. 231) Normal ProbabilitiesCHAPTER5Suppose that cholesterol levels of American men are normally distributed with a mean of 215 and a standard deviation of 25. If you ra
Columbus State University - MATH - 1127
Section 6.175Confidence IntervalsSection 6.1CHAPTER64 Example 4 (pg. 284) Constructing a Confidence IntervalEnter the data from Example 1 on pg. 280 into L1. In this example, n &gt; 30, so the sample standard deviation, Sx, is a good approxi
Columbus State University - MATH - 1127
Section 7.287Hypothesis Testing with One SampleSection 7.2CHAPTER74 Example 4 (pg. 350) Hypothesis Testing Using P-valuesThe hypothesis test, H o : 30 vs. H a : &lt;30, is a left-tailed test. The sample statistics are x = 28.5, s = 3.5 an
Columbus State University - MATH - 1127
104 Chapter 8 Hypothesis Testing with Two SamplesHypothesis Testing with Two SamplesSection 8.14 Example 2 (pg. 408) Two-Sample Z-TestCHAPTER8Test the claim that the average daily cost for meals and lodging when vacationing in Texas is less
Columbus State University - MATH - 1127
Section 10.2143Chi-Square Tests and the F-DistributionSection 10.24Example 3 (pg. 526) Chi-Square Independence TestCHAPTER10Test the hypotheses: H o :The number of days spent exercising per week is independent of gender vs. H a : The numb
Columbus State University - MATH - 1127
Section 9.1125Correlation and RegressionSection 9.14Example 3 (pg. 460) Constructing a Scatter plotCHAPTER9Press STAT, highlight 1:Edit and clear L1 and L2. Enter the X-values into L1 and the Y-values into L2. Press 2nd [STAT PLOT] , sele