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Complete Probability & Statistics 1 for Cambridge International AS & A Level
Taschenbuch von James Nicholson
Sprache: Englisch

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Beschreibung
Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
Zusammenfassung
Develop advanced mathematical skills with a real-world focus
Inhaltsverzeichnis
  • Syllabus matching grid

  • 1 Introduction to statistical thinking

  • 1.1: What is statistics and why is it important?

  • 1.2: Types of data

  • 2 Measures of location and spread

  • 2.1: Averages

  • 2.2: Quartiles and the interquartile range

  • 2.3: Variance and standard deviation

  • 2.4: Which average should you use?

  • 2.5: Coding

  • 3 Representing and analysing data

  • 3.1: Stem-and-leaf diagrams

  • 3.2: Box-and-whisker plots

  • 3.3: Histograms

  • 3.4: Cumulative frequency graphs

  • 3.5: Skewness

  • 3.6: Comparing distributions

  • Review exercise A

  • Maths in real-life: Seeing the wood and the trees

  • 4 Probability

  • 4.1: Basic concepts and language f probability

  • 4.2: Two (or more) events

  • 4.3: Tree diagrams

  • 4.4: Conditional probability

  • 4.5: Relationships between events

  • 5 Probability distributions and discrete random variables

  • 5.1: Discrete random variables

  • 5.2: The probability function, p(x)

  • 5.3: Expectation of a discrete random variable

  • 5.4: The variance of a discrete random variable

  • 6 Permutations and combinations

  • 6.1: Permutations of n distinct objects in a straight line

  • 6.2: Permutations of k objects from distinct objects in a straight line

  • 6.3: Allowing constraints on permutations (for n distinct objects)

  • 6.4: Permutations when some objects are not distinguishable

  • 6.5: Combinations

  • 6.6: Evaluate probabilities by calculation sing permutations or combinations

  • Review exercise B

  • Maths in real-life: Sporting statistics

  • 7 The binomial distribution

  • 7.1: Introducing the binomial distribution

  • 7.2: Mean and variance of the binomial distribution

  • 7.3: Modelling with the binomial distribution

  • 8 The geometric distribution

  • 8.1: Introducing the geometric distribution

  • 8.2: The mean of the geometric distribution

  • 9 The normal distribution

  • 9.1: Continuous probability distributions and the normal distribution

  • 9.2: Standard normal distribution

  • 9.3: Calculating probabilities for the (µ, *s2) distribution

  • 9.4: Using the normal distribution

  • 10 The normal approximation to the binomial distribution

  • 10.1: Normal shape of some binomial distributions

  • 10.2: Continuity correction

  • 10.3: The parameters for the normal approximation

  • Review exercise C

  • Maths in real-life: Statistics is definitely not a lonely world

  • Exam-style paper A

  • Exam-style paper B

  • Answers

  • Data sets

  • Glossary of terms

  • Index

Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 224
Inhalt: Bundle
ISBN-13: 9780198425151
ISBN-10: 0198425155
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Nicholson, James
Hersteller: Oxford University Press
Maße: 190 x 245 x 15 mm
Von/Mit: James Nicholson
Erscheinungsdatum: 12.07.2018
Gewicht: 0,442 kg
preigu-id: 121735859
Zusammenfassung
Develop advanced mathematical skills with a real-world focus
Inhaltsverzeichnis
  • Syllabus matching grid

  • 1 Introduction to statistical thinking

  • 1.1: What is statistics and why is it important?

  • 1.2: Types of data

  • 2 Measures of location and spread

  • 2.1: Averages

  • 2.2: Quartiles and the interquartile range

  • 2.3: Variance and standard deviation

  • 2.4: Which average should you use?

  • 2.5: Coding

  • 3 Representing and analysing data

  • 3.1: Stem-and-leaf diagrams

  • 3.2: Box-and-whisker plots

  • 3.3: Histograms

  • 3.4: Cumulative frequency graphs

  • 3.5: Skewness

  • 3.6: Comparing distributions

  • Review exercise A

  • Maths in real-life: Seeing the wood and the trees

  • 4 Probability

  • 4.1: Basic concepts and language f probability

  • 4.2: Two (or more) events

  • 4.3: Tree diagrams

  • 4.4: Conditional probability

  • 4.5: Relationships between events

  • 5 Probability distributions and discrete random variables

  • 5.1: Discrete random variables

  • 5.2: The probability function, p(x)

  • 5.3: Expectation of a discrete random variable

  • 5.4: The variance of a discrete random variable

  • 6 Permutations and combinations

  • 6.1: Permutations of n distinct objects in a straight line

  • 6.2: Permutations of k objects from distinct objects in a straight line

  • 6.3: Allowing constraints on permutations (for n distinct objects)

  • 6.4: Permutations when some objects are not distinguishable

  • 6.5: Combinations

  • 6.6: Evaluate probabilities by calculation sing permutations or combinations

  • Review exercise B

  • Maths in real-life: Sporting statistics

  • 7 The binomial distribution

  • 7.1: Introducing the binomial distribution

  • 7.2: Mean and variance of the binomial distribution

  • 7.3: Modelling with the binomial distribution

  • 8 The geometric distribution

  • 8.1: Introducing the geometric distribution

  • 8.2: The mean of the geometric distribution

  • 9 The normal distribution

  • 9.1: Continuous probability distributions and the normal distribution

  • 9.2: Standard normal distribution

  • 9.3: Calculating probabilities for the (µ, *s2) distribution

  • 9.4: Using the normal distribution

  • 10 The normal approximation to the binomial distribution

  • 10.1: Normal shape of some binomial distributions

  • 10.2: Continuity correction

  • 10.3: The parameters for the normal approximation

  • Review exercise C

  • Maths in real-life: Statistics is definitely not a lonely world

  • Exam-style paper A

  • Exam-style paper B

  • Answers

  • Data sets

  • Glossary of terms

  • Index

Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 224
Inhalt: Bundle
ISBN-13: 9780198425151
ISBN-10: 0198425155
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Nicholson, James
Hersteller: Oxford University Press
Maße: 190 x 245 x 15 mm
Von/Mit: James Nicholson
Erscheinungsdatum: 12.07.2018
Gewicht: 0,442 kg
preigu-id: 121735859
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