1) The document is an exam paper for the Edexcel GCE Statistics S1 Advanced Subsidiary exam from January 2005. It contains 7 questions testing various statistical concepts.
2) Students are provided with a booklet of mathematical formulae and statistical tables to use in answering the questions.
3) The paper is 1 hour and 30 minutes long and carries a total of 75 marks. Students are advised to show working and label answers clearly.
The document provides data and questions about 6 topics: body mass of children, math test marks, ages of golf club members, charity donations, student masses, and student pocket money. For each topic, tables are completed with frequency distributions, measures of center are calculated (mean, median, mode), and graphs (histogram, frequency polygon, ogive) are drawn to represent the data. The answers and calculations are provided in a detailed manner across multiple pages.
This document contains a math probability worksheet with 10 problems. It provides the questions, tables of data, and diagrams related to calculating probabilities of random events. The questions cover topics like picking marbles from a box, choosing members from sport teams, selecting students based on residential areas, and other scenarios involving groups with different characteristics. The document also includes the answers to all 10 problems in the worksheet.
The document discusses probability and provides examples and solutions. It defines probability as the number of favorable outcomes divided by the total number of possible outcomes. It gives examples of calculating probabilities of events such as choosing balls of different colors from a bag. It also discusses combined events and finding probabilities of "or" and "and" events.
E C M2221 P R O B A B I L I T Y A N D S T A T I S T I C S Set1guestd436758
This document contains an exam for a Probability and Statistics course, with 8 multiple choice questions covering various probability and statistics concepts. The questions assess students' understanding of topics like: probability calculations for single and multiple events; probability density functions; Poisson distributions; normal distributions; confidence intervals; hypothesis testing; and correlation. Students are instructed to answer any 5 of the 8 questions, with each question worth equal marks towards the exam's total of 80 marks.
210502 Mathematical Foundation Of Computer Scienceguestd436758
This document contains an exam for a Mathematical Foundations of Computer Science course, with 8 questions covering topics like propositional logic, functions, graphs, and algorithms. It provides the full exam paper, with diagrams and multiple parts to each question. The exam tests students on their understanding of key mathematical concepts that form the foundation for computer science.
Previous Years Solved Question Papers for Staff Selection Commission (SSC)…SmartPrep Education
Here is the Previous Years Solved Staff Selection Commission (SSC) LDC DEO Exam Paper. Visit SmartPrep for information on Test Prep courses for Undergraduates
This document contains four sets of questions for a Design and Analysis of Algorithms exam. The questions cover a range of algorithm and complexity topics, including performance analysis, matrix operations, greedy algorithms, dynamic programming, graph algorithms, NP-completeness, and more. Students must choose 5 of the 16 questions to answer in detail.
This document appears to be an exam for a 6th grade mathematics class. It contains instructions for a 3 hour exam divided into 3 sections worth a total of 100 marks. Section A is a 20 question multiple choice section to be completed in 30 minutes. Section B contains word problems worth 40 marks, with students to attempt 10 questions of 4 marks each. Section C contains longer word problems worth 40 marks, with students to attempt 5 questions of 8 marks each. The exam covers topics in mathematics including fractions, percentages, algebra, geometry and measurement.
The document provides data and questions about 6 topics: body mass of children, math test marks, ages of golf club members, charity donations, student masses, and student pocket money. For each topic, tables are completed with frequency distributions, measures of center are calculated (mean, median, mode), and graphs (histogram, frequency polygon, ogive) are drawn to represent the data. The answers and calculations are provided in a detailed manner across multiple pages.
This document contains a math probability worksheet with 10 problems. It provides the questions, tables of data, and diagrams related to calculating probabilities of random events. The questions cover topics like picking marbles from a box, choosing members from sport teams, selecting students based on residential areas, and other scenarios involving groups with different characteristics. The document also includes the answers to all 10 problems in the worksheet.
The document discusses probability and provides examples and solutions. It defines probability as the number of favorable outcomes divided by the total number of possible outcomes. It gives examples of calculating probabilities of events such as choosing balls of different colors from a bag. It also discusses combined events and finding probabilities of "or" and "and" events.
E C M2221 P R O B A B I L I T Y A N D S T A T I S T I C S Set1guestd436758
This document contains an exam for a Probability and Statistics course, with 8 multiple choice questions covering various probability and statistics concepts. The questions assess students' understanding of topics like: probability calculations for single and multiple events; probability density functions; Poisson distributions; normal distributions; confidence intervals; hypothesis testing; and correlation. Students are instructed to answer any 5 of the 8 questions, with each question worth equal marks towards the exam's total of 80 marks.
210502 Mathematical Foundation Of Computer Scienceguestd436758
This document contains an exam for a Mathematical Foundations of Computer Science course, with 8 questions covering topics like propositional logic, functions, graphs, and algorithms. It provides the full exam paper, with diagrams and multiple parts to each question. The exam tests students on their understanding of key mathematical concepts that form the foundation for computer science.
Previous Years Solved Question Papers for Staff Selection Commission (SSC)…SmartPrep Education
Here is the Previous Years Solved Staff Selection Commission (SSC) LDC DEO Exam Paper. Visit SmartPrep for information on Test Prep courses for Undergraduates
This document contains four sets of questions for a Design and Analysis of Algorithms exam. The questions cover a range of algorithm and complexity topics, including performance analysis, matrix operations, greedy algorithms, dynamic programming, graph algorithms, NP-completeness, and more. Students must choose 5 of the 16 questions to answer in detail.
This document appears to be an exam for a 6th grade mathematics class. It contains instructions for a 3 hour exam divided into 3 sections worth a total of 100 marks. Section A is a 20 question multiple choice section to be completed in 30 minutes. Section B contains word problems worth 40 marks, with students to attempt 10 questions of 4 marks each. Section C contains longer word problems worth 40 marks, with students to attempt 5 questions of 8 marks each. The exam covers topics in mathematics including fractions, percentages, algebra, geometry and measurement.
The document contains a 25 question multiple choice test on set theory concepts. The questions cover topics like the number of subsets of a set, definitions of union, intersection, difference, Cartesian product, and properties of sets and their relationships. Key terms assessed include universal set, null set, subset, disjoint sets, exhaustive sets, and De Morgan's laws.
This document contains a mid-term examination question paper for Class VI from Fazia Schools & Colleges. The paper tests students on their knowledge of mathematics, computer science, and English. It includes multiple choice and short answer questions assessing topics like sets, numbers, computers, grammar, and literature comprehension. The exam is divided into three sections and covers areas of the curriculum for these subjects at the sixth grade level.
This document appears to be a mid-term examination for a 7th grade class covering several subjects, including mathematics, computer science, and English. The examination contains multiple choice and short answer questions testing students' knowledge of topics like fractions, operations, computer components and functions, and English grammar. It provides instructions for students on how to fill out different sections within the allotted time frames. The test aims to evaluate students' understanding of key 7th grade concepts across various core subjects.
Mid term paper of Maths class VI 2011 Fazaia Inter collegeAsad Shafat
This document contains a mid-term examination for 6th class mathematics from Fazia Schools & Colleges. The exam has 3 sections: Section A with 20 multiple choice questions, Section B with 10 short answer questions worth 4 marks each, and Section C with 5 long answer questions worth 8 marks each. The exam covers topics in mathematics including sets, numbers, operations, ratios, and word problems. Students are asked to show their work, find sums, quotients, greatest common factors, least common multiples, and solve other mathematical problems.
The document provides information on probability concepts including:
1) The definition of probability as the number of favorable outcomes divided by the total possible outcomes.
2) Examples of calculating probabilities of events such as getting an odd number when numbers are randomly selected.
3) The concept of complementary events and that the probability of an event occurring plus the probability of its complement equals 1.
4) Ways of calculating probabilities of combined events using unions and intersections of events.
The document is a model paper for a 10th class mathematics examination. It contains 4 sections with a total of 50 marks. Section 1 has 2 groups with 5 questions each worth 2 marks. Section 2 has 4 questions worth 1 mark each. Section 3 has 4 questions from 2 groups worth 4 marks each. Section 4 has 2 questions worth 5 marks each. The paper tests concepts in sets, functions, trigonometry, arithmetic progressions, statistics and coordinate geometry. It provides examples of questions, expected length of responses and distribution of marks across the sections.
The document provides examples and exercises on statistics concepts like mean, median, mode, range, class intervals, frequency distributions, and pictographs. It contains 10 questions with multiple parts testing understanding of these concepts through calculations and interpreting data presented in tables and diagrams.
This document is an examination paper for Class VII students. It contains questions in three sections - Section A with 20 multiple choice questions worth 20 marks to be completed in 30 minutes, Section B with 10 long answer questions worth 40 marks, and Section C with 5 long answer questions worth 40 marks. The paper tests students on their knowledge of mathematics, general science, and computer science. It provides instructions on time limits, answering questions directly on the paper or in a separate book, and the total marks for each section and the exam overall.
This document contains a summary of 16 multiple choice questions related to sets and set operations. The questions cover topics like determining the number of elements in sets based on given information, evaluating the truth of statements involving sets and set operations like union, intersection and difference, and solving word problems involving consumer preferences represented as sets.
This document contains a mid-term examination paper for Class VIII mathematics. It consists of 3 sections - Section A with 20 multiple choice questions to be completed in 30 minutes, Section B with 10 long-form questions worth 4 marks each, and Section C with 5 long-form questions worth 8 marks each. The paper tests students on various mathematics concepts including sets, radicals, exponents, averages, percentages, and algebraic expressions. Students are asked to solve problems, simplify expressions, find sums and products, and more. The paper is designed to evaluate students' understanding of core Class VIII math topics.
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This document contains a mid-term examination paper for Class VIII students. It tests their knowledge in the subjects of Mathematics, Computer Science, and English.
The Mathematics section contains 20 multiple choice questions testing concepts like sets, square roots, radicals, number systems, and algebraic expressions. The Computer Science section has 12 multiple choice questions on topics such as hexadecimal conversion, binary addition, word processing functions, and programming basics.
The English section begins with 2 sample multiple choice comprehension questions. Sections B and C of each subject contain longer form questions to be answered in paragraphs, involving explanations, calculations, and problem solving. Students have 3 hours to complete the entire exam which is worth a total of 100 marks.
This document provides instructions and information for a mathematics exam. It includes:
1) Details about the exam such as the date, time allotted, and materials allowed.
2) Instructions for candidates on how to identify their work and provide their information.
3) Information for candidates about the structure of the exam including the total number and types of questions, and the total marks available.
4) Advice to candidates about showing their working and obtaining full credit.
The document is an international mathematics contest for students in grades 5 and 6 containing 20 multiple choice questions ranging from 3 to 5 points. The questions cover a wide range of math topics including algebra, geometry, fractions, problem solving, and logic puzzles. The highest possible score is 100 points by answering all questions correctly.
For helpful CXC Maths Multiple Choice Videos please click below
These videos are very helpful
https://oke.io/dUqlSrd
https://oke.io/UWfOCCP
https://oke.io/FrCDQ
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The document contains questions from the Fourth Semester B.E. Degree Examination in Material Science and Metallurgy. It has two parts - Part A and Part B. Some of the key questions asked include defining atomic packing factor and calculating values for FCC structure, explaining different types of point defects, stating and explaining Fick's second law of diffusion,
1) The data are from a stem-and-leaf plot showing the number of people leaving a hotel each morning over a period of time. The mode is 32 people and the three quartiles are 32, 38, and 50 people. The mean is 40.2 people and the standard deviation is 7.3 people. The data are negatively skewed since the mean is less than the mode and the measure of skewness is negative.
2) The document contains sample exam questions about summarizing data, interpreting box plots, probability, and Venn diagrams.
This document contains a practice exam for the course STA 240 with 13 questions testing statistical concepts. The exam covers topics like frequency tables, measures of dispersion, measures of central tendency, probability, correlation, and hypothesis testing. Students are asked to calculate statistics, define terms, explain concepts, and perform other analysis on data related to these statistical topics. The exam is out of 35 total marks and students have 2 hours to complete it.
Robustness of supertree methods for reconciling dense incompatible data. SJ. ...Roderic Page
The document discusses methods for constructing a supertree from a collection of input phylogenetic trees on overlapping sets of taxa. A supertree is a single tree that combines all the taxa and agrees with each input tree when restricted to that tree's taxa. The document focuses on measuring the "radius" of supertree methods, which indicates their robustness to small changes in the input data. It describes using the normalized triplet support from the input trees as edge weights in the supertree construction process. The normalized triplet supertree is the tree produced when this weight scheme and a minimum threshold approach are used.
This document contains a 30 question mid-semester exam for a data structures and algorithms course. The exam covers topics like asymptotic analysis, sorting algorithms, hashing, binary search trees, and recursion. It provides multiple choice questions to test understanding of algorithm time complexities, worst-case inputs, and recursive functions. Students are instructed to attempt all questions in the 2 hour time limit and notify the proctor if any electronic devices other than calculators are used.
1. This document provides a practice work assignment for a senior secondary course in mathematics. It contains 14 multiple part questions testing a variety of algebra skills.
2. Students are instructed to show their work on separate paper, including their identifying information, and have their teacher check their work for feedback before submitting.
3. The questions cover topics like solving systems of equations, roots of polynomials, mathematical induction, and maximizing profit in an industrial problem.
The document contains a 25 question multiple choice test on set theory concepts. The questions cover topics like the number of subsets of a set, definitions of union, intersection, difference, Cartesian product, and properties of sets and their relationships. Key terms assessed include universal set, null set, subset, disjoint sets, exhaustive sets, and De Morgan's laws.
This document contains a mid-term examination question paper for Class VI from Fazia Schools & Colleges. The paper tests students on their knowledge of mathematics, computer science, and English. It includes multiple choice and short answer questions assessing topics like sets, numbers, computers, grammar, and literature comprehension. The exam is divided into three sections and covers areas of the curriculum for these subjects at the sixth grade level.
This document appears to be a mid-term examination for a 7th grade class covering several subjects, including mathematics, computer science, and English. The examination contains multiple choice and short answer questions testing students' knowledge of topics like fractions, operations, computer components and functions, and English grammar. It provides instructions for students on how to fill out different sections within the allotted time frames. The test aims to evaluate students' understanding of key 7th grade concepts across various core subjects.
Mid term paper of Maths class VI 2011 Fazaia Inter collegeAsad Shafat
This document contains a mid-term examination for 6th class mathematics from Fazia Schools & Colleges. The exam has 3 sections: Section A with 20 multiple choice questions, Section B with 10 short answer questions worth 4 marks each, and Section C with 5 long answer questions worth 8 marks each. The exam covers topics in mathematics including sets, numbers, operations, ratios, and word problems. Students are asked to show their work, find sums, quotients, greatest common factors, least common multiples, and solve other mathematical problems.
The document provides information on probability concepts including:
1) The definition of probability as the number of favorable outcomes divided by the total possible outcomes.
2) Examples of calculating probabilities of events such as getting an odd number when numbers are randomly selected.
3) The concept of complementary events and that the probability of an event occurring plus the probability of its complement equals 1.
4) Ways of calculating probabilities of combined events using unions and intersections of events.
The document is a model paper for a 10th class mathematics examination. It contains 4 sections with a total of 50 marks. Section 1 has 2 groups with 5 questions each worth 2 marks. Section 2 has 4 questions worth 1 mark each. Section 3 has 4 questions from 2 groups worth 4 marks each. Section 4 has 2 questions worth 5 marks each. The paper tests concepts in sets, functions, trigonometry, arithmetic progressions, statistics and coordinate geometry. It provides examples of questions, expected length of responses and distribution of marks across the sections.
The document provides examples and exercises on statistics concepts like mean, median, mode, range, class intervals, frequency distributions, and pictographs. It contains 10 questions with multiple parts testing understanding of these concepts through calculations and interpreting data presented in tables and diagrams.
This document is an examination paper for Class VII students. It contains questions in three sections - Section A with 20 multiple choice questions worth 20 marks to be completed in 30 minutes, Section B with 10 long answer questions worth 40 marks, and Section C with 5 long answer questions worth 40 marks. The paper tests students on their knowledge of mathematics, general science, and computer science. It provides instructions on time limits, answering questions directly on the paper or in a separate book, and the total marks for each section and the exam overall.
This document contains a summary of 16 multiple choice questions related to sets and set operations. The questions cover topics like determining the number of elements in sets based on given information, evaluating the truth of statements involving sets and set operations like union, intersection and difference, and solving word problems involving consumer preferences represented as sets.
This document contains a mid-term examination paper for Class VIII mathematics. It consists of 3 sections - Section A with 20 multiple choice questions to be completed in 30 minutes, Section B with 10 long-form questions worth 4 marks each, and Section C with 5 long-form questions worth 8 marks each. The paper tests students on various mathematics concepts including sets, radicals, exponents, averages, percentages, and algebraic expressions. Students are asked to solve problems, simplify expressions, find sums and products, and more. The paper is designed to evaluate students' understanding of core Class VIII math topics.
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This document contains a mid-term examination paper for Class VIII students. It tests their knowledge in the subjects of Mathematics, Computer Science, and English.
The Mathematics section contains 20 multiple choice questions testing concepts like sets, square roots, radicals, number systems, and algebraic expressions. The Computer Science section has 12 multiple choice questions on topics such as hexadecimal conversion, binary addition, word processing functions, and programming basics.
The English section begins with 2 sample multiple choice comprehension questions. Sections B and C of each subject contain longer form questions to be answered in paragraphs, involving explanations, calculations, and problem solving. Students have 3 hours to complete the entire exam which is worth a total of 100 marks.
This document provides instructions and information for a mathematics exam. It includes:
1) Details about the exam such as the date, time allotted, and materials allowed.
2) Instructions for candidates on how to identify their work and provide their information.
3) Information for candidates about the structure of the exam including the total number and types of questions, and the total marks available.
4) Advice to candidates about showing their working and obtaining full credit.
The document is an international mathematics contest for students in grades 5 and 6 containing 20 multiple choice questions ranging from 3 to 5 points. The questions cover a wide range of math topics including algebra, geometry, fractions, problem solving, and logic puzzles. The highest possible score is 100 points by answering all questions correctly.
For helpful CXC Maths Multiple Choice Videos please click below
These videos are very helpful
https://oke.io/dUqlSrd
https://oke.io/UWfOCCP
https://oke.io/FrCDQ
MCQ's for class 7th, mcqs for class 7th, mcq for 7th, mcqs oxford book 7th class, mcqs for class 7th fazaia inter college lahore, mcq's for oxford book, mcq's countdown 7th class
The document contains questions from the Fourth Semester B.E. Degree Examination in Material Science and Metallurgy. It has two parts - Part A and Part B. Some of the key questions asked include defining atomic packing factor and calculating values for FCC structure, explaining different types of point defects, stating and explaining Fick's second law of diffusion,
1) The data are from a stem-and-leaf plot showing the number of people leaving a hotel each morning over a period of time. The mode is 32 people and the three quartiles are 32, 38, and 50 people. The mean is 40.2 people and the standard deviation is 7.3 people. The data are negatively skewed since the mean is less than the mode and the measure of skewness is negative.
2) The document contains sample exam questions about summarizing data, interpreting box plots, probability, and Venn diagrams.
This document contains a practice exam for the course STA 240 with 13 questions testing statistical concepts. The exam covers topics like frequency tables, measures of dispersion, measures of central tendency, probability, correlation, and hypothesis testing. Students are asked to calculate statistics, define terms, explain concepts, and perform other analysis on data related to these statistical topics. The exam is out of 35 total marks and students have 2 hours to complete it.
Robustness of supertree methods for reconciling dense incompatible data. SJ. ...Roderic Page
The document discusses methods for constructing a supertree from a collection of input phylogenetic trees on overlapping sets of taxa. A supertree is a single tree that combines all the taxa and agrees with each input tree when restricted to that tree's taxa. The document focuses on measuring the "radius" of supertree methods, which indicates their robustness to small changes in the input data. It describes using the normalized triplet support from the input trees as edge weights in the supertree construction process. The normalized triplet supertree is the tree produced when this weight scheme and a minimum threshold approach are used.
This document contains a 30 question mid-semester exam for a data structures and algorithms course. The exam covers topics like asymptotic analysis, sorting algorithms, hashing, binary search trees, and recursion. It provides multiple choice questions to test understanding of algorithm time complexities, worst-case inputs, and recursive functions. Students are instructed to attempt all questions in the 2 hour time limit and notify the proctor if any electronic devices other than calculators are used.
1. This document provides a practice work assignment for a senior secondary course in mathematics. It contains 14 multiple part questions testing a variety of algebra skills.
2. Students are instructed to show their work on separate paper, including their identifying information, and have their teacher check their work for feedback before submitting.
3. The questions cover topics like solving systems of equations, roots of polynomials, mathematical induction, and maximizing profit in an industrial problem.
The document appears to be a blueprint for a mathematics exam for class 12. It lists various topics that could be covered in the exam such as functions, derivatives, integrals, differential equations, 3-dimensional geometry, and matrices. For each topic it indicates the number and type of questions that may be asked, such as very short answer (1 mark), short answer (4 marks), and long answer (6 marks). The total number of questions is 29 with 10 short answer questions worth 1 mark each, 12 questions worth 4 marks each, and 7 questions worth 6 marks each. The document also includes sample questions that cover the listed topics as examples of what may be asked on the exam.
This document provides practice exercises for an introduction to research in information studies course. It includes questions on defining statistical terms, computing descriptive statistics like mean, median and mode for sample data, generating frequency distributions and histograms, hypothesis testing, and constructing confidence intervals. The exercises cover topics like measures of central tendency and dispersion, probability distributions, sampling distributions, and both descriptive and inferential statistics.
This document provides practice exercises related to foundational concepts in statistics including: defining key terms; computing descriptive statistics like mean, median, mode, and range; generating frequency distributions and histograms; computing z-scores, percentiles, and confidence intervals; and defining relationships between statistical concepts. The exercises are intended to help students learn terminology and calculations involved in quantitative data analysis and drawing statistical inferences from samples.
This document contains a 5 page exam for the course CS-60: Foundation Course in Mathematics in Computing. The exam contains 17 multiple choice and numerical problems covering topics like algebra, calculus, matrices, and complex numbers. Students have 3 hours to complete the exam which is worth a total of 75 marks. Question 1 is compulsory, and students must attempt any 3 questions from questions 2 through 6. The use of a calculator is permitted.
The document contains questions from a B.E. Degree Examination in Engineering Mathematics. It has two parts - Part A and Part B containing a total of 8 questions. The questions cover topics in graph theory, combinatorics, probability, differential equations and their solutions. Students are required to attempt 5 questions selecting at least 2 from each part.
210502 Mathematical Foundation Of Computer Scienceguestac67362
This document contains an exam for a Mathematical Foundations of Computer Science course, with 8 questions covering topics like propositional logic, functions, graphs, and algorithms. It provides the full exam paper, with diagrams and multiple parts to each question. The exam tests students on their understanding of core mathematical concepts that underpin computer science.
05210401 P R O B A B I L I T Y T H E O R Y A N D S T O C H A S T I C P R...guestd436758
This document appears to be an exam for a Probability Theory and Stochastic Process course, consisting of 8 questions across 4 pages. It covers topics like events, probability, random variables, probability distributions, moments, central limit theorem, stationary processes, power spectral density, and linear time-invariant systems. Students are instructed to answer any 5 of the 8 questions, which include problems calculating probabilities, distributions, moments, variances, correlation coefficients, power spectral densities, and network responses. Diagrams are provided for reference.
The document provides instructions for an online aerospace engineering examination. It states that the exam has 65 multiple-choice questions worth a total of 100 marks. Questions are either worth 1 or 2 marks depending on the question number. There is no negative marking for numerical answer questions but negative marking for multiple choice questions. Calculators are allowed but no other materials. The exam is timed for 3 hours.
1. The decimal expansion of π is non-terminating and recurring.
2. If one diagonal of a trapezium divides the other in the ratio 1:3, then one of the parallel sides is three times the other.
3. The mode of the data with classes 50-60, 60-70, 70-80, 80-90, 90-100 and frequencies 9, 12, 20, 11, 10 respectively is 70-80.
This document appears to be an exam question paper for AHSEC (Assam Higher Secondary Education Council) Commerce Stream students. It contains 14 questions testing concepts in commercial mathematics and statistics, including simplifying expressions, matrix operations, sets, probability, measures of central tendency and variation, and linear inequalities. Students are given 3 hours to complete the exam which is out of 100 total marks.
The document discusses relationships between the coefficients and roots of polynomials. It states that for a polynomial P(x) = axn + bxn-1 + cxn-2 + ..., the sum of the roots equals -b/a, the sum of the roots taken two at a time equals c/a, and so on for higher order terms. It also provides examples of using these relationships to find the sums of roots for a given polynomial.
This document contains information about an engineering mathematics examination, including five questions covering topics like numerical methods for solving differential equations, complex variables, orthogonal polynomials, and probability. It also provides materials data and stipulations for designing a M35 grade concrete mix according to Indian standards.
The first part of the document outlines five questions on the exam covering numerical methods like Euler's method, Picard's method, Runge-Kutta method, and Milne's predictor-corrector method for solving differential equations. It also includes questions on complex variables, orthogonal polynomials, and probability.
The second part provides test data for materials to be used in designing a concrete mix for M35 grade concrete according to Indian standards, including stipulations
This document is a 4-page exam for the course BCS-012 Basic Mathematics. It contains 10 questions testing various math skills. Question 1 has 5 sub-questions, and questions 2 through 5 each have between 3-5 sub-questions. The questions cover topics such as algebra, calculus, vectors, matrices and linear programming. Students are instructed to answer question 1 and any 3 of the remaining questions.
The document contains a series of math word problems and questions from an EOCT practice test. There are 23 problems testing concepts like probability, slope, equations, expressions, ratios, averages, and more. The questions are multiple choice with 4 possible answers for each problem.
This document contains 23 multiple choice questions about equations. The questions cover a range of topics including solving linear, quadratic, and absolute value equations; finding the number of real solutions of equations; determining the sum or product of the roots of equations; and identifying properties of the solutions sets of equations.
2. 1. A company assembles drills using components from two sources. Goodbuy supplies 85% of the
components and Amart supplies the rest. It is known that 3% of the components supplied by
Goodbuy are faulty and 6% of those supplied by Amart are faulty.
(a) Represent this information on a tree diagram.
(3)
An assembled drill is selected at random.
(b) Find the probability that it is not faulty.
(3)
2. The number of caravans on Seaview caravan site on each night in August last year is summarised
in the following stem and leaf diagram.
Caravans 10 means 10 Totals
1 0 5 (2)
2 1 2 4 8 (4)
3 0 3 3 3 4 7 8 8 (8)
4 1 1 3 5 8 8 8 9 9 (9)
5 2 3 6 6 7 (5)
6 2 3 4 (3)
(a) Find the three quartiles of these data.
(3)
During the same month, the least number of caravans on Northcliffe caravan site was 31. The
maximum number of caravans on this site on any night that month was 72. The three quartiles
for this site were 38, 45 and 52 respectively.
(b) On graph paper and using the same scale, draw box plots to represent the data for both
caravan sites. You may assume that there are no outliers.
(6)
(c) Compare and contrast these two box plots.
(3)
(d) Give an interpretation to the upper quartiles of these two distributions.
(2)
N16741A 2
3. 3. The following table shows the height x, to the nearest cm, and the weight y, to the nearest kg, of
a random sample of 12 students.
x 148 164 156 172 147 184 162 155 182 165 175 152
y 39 59 56 77 44 77 65 49 80 72 70 52
(a) On graph paper, draw a scatter diagram to represent these data.
(3)
(b) Write down, with a reason, whether the correlation coefficient between x and y is positive or
negative.
(2)
The data in the table can be summarised as follows.
x = 1962, y = 740, y2 = 47 746, xy = 122 783, Sxx = 1745.
(c) Find Sxy.
(2)
The equation of the regression line of y on x is y = –106.331 + bx.
(d) Find, to 3 decimal places, the value of b.
(2)
(e) Find, to 3 significant figures, the mean y and the standard deviation s of the weights of this
sample of students.
(3)
(f ) Find the values of y 1.96s.
(2)
(g) Comment on whether or not you think that the weights of these students could be modelled
by a normal distribution.
(1)
N16741A 3 Turn over
4. 4. The random variable X has probability function
P(X = x) = kx, x = 1, 2, ..., 5.
1
(a) Show that k = .
15
(2)
Find
(b) P(X < 4),
(2)
(c) E(X),
(2)
(d) E(3X – 4).
(2)
N16741A 4
5. 5. Articles made on a lathe are subject to three kinds of defect, A, B or C. A sample of 1000 articles
was inspected and the following results were obtained.
31 had a type A defect
37 had a type B defect
42 had a type C defect
11 had both type A and type B defects
13 had both type B and type C defects
10 had both type A and type C defects
6 had all three types of defect.
(a) Draw a Venn diagram to represent these data.
(6)
Find the probability that a randomly selected article from this sample had
(b) no defects,
(1)
(c) no more than one of these defects.
(2)
An article selected at random from this sample had only one defect.
(d) Find the probability that it was a type B defect.
(2)
Two different articles were selected at random from this sample.
(e) Find the probability that both had type B defects.
(2)
6. A discrete random variable is such that each of its values is assumed to be equally likely.
(a) Write down the name of the distribution that could be used to model this random variable.
(1)
(b) Give an example of such a distribution.
(1)
(c) Comment on the assumption that each value is equally likely.
(2)
(d) Suggest how you might refine the model in part (a).
(2)
N16741A 5 Turn over
6. 7. The random variable X is normally distributed with mean 79 and variance 144.
Find
(a) P(X < 70),
(3)
(b) P(64 < X < 96).
(3)
It is known that P(79 – a X 79 + b) = 0.6463. This information is shown in the figure below.
0.6463
79 – a 79 79 + b
Given that P(X 79 + b) = 2P(X 79 – a),
(c) show that the area of the shaded region is 0.1179.
(3)
(d) Find the value of b.
(4)
TOTAL FOR PAPER:75 MARKS
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