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

Complete Probability & Statistics 1 for Cambridge International AS & A Level by James Nicholson

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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.

Complete Probability & Statistics 1 for Cambridge International AS & A Level by James Nicholson

Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study. This new edition is fully aligned with the Probability & Statistics 1 part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support. Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport, up-to-date, international examples show how mathematics is used in real life. Students have plenty of opportunities to hone their skills with extensive graduated practice and thorough worked examples. Plus, give students realistic practice for their exams with exam-style questions covering every topic. Answers are included in the back of the book with full step-by-step solutions for all exercises and exam-style questions available on the accompanying support site.

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 (, *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

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

Complete Probability & Statistics 1 for Cambridge International AS & A Level by James Nicholson

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

Complete Probability & Statistics 1 for Cambridge International AS & A Level by James Nicholson

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