Mathematics Higher Level for the IB Diploma Option Topic 7 Statistics and Probability 1st edition by Paul Fannon, Vesna Kadelburg, Ben Woolley, Stephen Ward – Ebook PDF Instand Download/DeliveryISBN: 9781107682269
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ISBN-13 : 9781107682269
Author: Paul Fannon, Vesna Kadelburg, Ben Woolley, Stephen Ward
This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 7 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Statistics and Probability. It is also for use with the further mathematics course.Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips and calculator skills sheets to support students in using their Casio or Texas calculators.Mathematics Higher Level Topic 7 – Option: Statistics and Probability is a fantastic guide to the material in this option, no matter which book is being used to cover the core material.
Mathematics Higher Level for the IB Diploma Option Topic 7 Statistics and Probability 1st Table of contents:
1 Combining random variables 2
1A Adding and multiplying all the data by a constant 2
1B Adding independent random variables 5
1C Expectation and variance of the sample mean and sample sum 9
1D Linear combinations of normal variables 12
1E The distribution of sums and averages of samples 16
2 More about statistical distributions 22
2A Geometric distribution 22
2B Negative binomial distribution 24
2C Probability generating functions 27
2D Using probability generating functions to find the distribution of the sum
of discrete random variables 32
3 Cumulative distribution functions 38
3A Finding the cumulative probability function 38
3B Distributions of functions of a continuous random variable 43
4 Unbiased estimators and confidence intervals 48
4A Unbiased estimates of the mean and variance 48
4B Theory of unbiased estimators 51
4C Confidence interval for the population mean 55
4D The t-distribution 60
4E Confidence interval for a mean with unknown variance 63
5 Hypothesis testing 71
5A The principle of hypothesis testing 71
5B Hypothesis testing for a mean with known variance 78
5C Hypothesis testing for a mean with unknown variance 81
5D Paired samples 85
5E Errors in hypothesis testing 88
6 Bivariate distributions 97
6A Introduction to discrete bivariate distributions 97
6B Covariance and correlation 100
6C Linear regression
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