Complete Probability & Statistics 1 for Cambridge International AS & A Level
$24.99

Complete Probability & Statistics 1 for Cambridge International AS & A Level

By James Nicholson
US$ 24.99
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Book Description

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.

Table of Contents
  • Front Cover
  • IFC
  • Title Page
  • Contents
  • Introduction
  • 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
    • Maths in real-life: Seeing the wood and the trees
  • 4 Probability
    • 4.1 Basic concepts and language of probability
    • 4.2 Two (or more) events
    • 4.3 Tree diagrams
    • 4.4 Conditional probability
    • 4.5 Relationships between events
  • 5 Probability distributions anddiscrete 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 line
    • 6.2 Permutations of k objects from n distinct objectsin a 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 using permutationsor combinations
    • 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
    • 8.3 Modelling with the geometric distribution
  • 9 The normal distribution
    • 9.1 Continuous probability distributions andthe normal distribution
    • 9.2 Standard normal distribution
    • 9.3 Calculating probabilities for the N(μ, σ2) distribution
    • 9.4 Modelling with the normal distribution
  • 10 The normal approximation tothe binomial distribution
    • 10.1 Normal shape of some binomial distributions
    • 10.2 Continuity correction
    • 10.3 The parameters for the normal approximation
    • Maths in real-life: Statistics is definitely not a lonely world
  • Exam-style paper A
  • Exam-style paper B
  • Answers
  • Data sets
  • Glossary
  • Index
  • Back Cover
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