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probability

probability and distribution theory

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OCR MEI CORE 3 COURSEWORK ( COMPLETED W/ FULL MARKS)

This is my OCR MEI Core 3 Mathematics coursework.This is the completed version and I scored 18/18 when I submitted this,which was in 2013.Please use as a reference guide only.

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Algebra _ Relation between H.C.F and L.C.M. of two polynomials

Algebra _ Relation between H.C.F and L.C.M. of two polynomials Learn about the relation between the highest common factor and least common factor of two polynomials on this page. First of all, know the definitions of H .C.F, L.C.M, and the relationship between them. Check the solved example questions in the below sections. We have listed the step-by-step solutions for all the example problems provided making it easy for you to understand the concepts.

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Vector space

In maths Vector Space is most Easy Topic to Understand by using my Notes,So Refer my Notes Once

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How to express a fraction as a percent, decimal, or fraction

This document explains how to express a fraction as a percent, decimal, or fraction.

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Html programming

It is very useful for every html beginner to advanced level to shine in their programs

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Chicken

A test pdf

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subtracting fractions

subtracting fractions examples

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Great Math Notes

Math 123 - Engineering Calculus

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Calculus Unit 9

Differential Equations

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Intro to Finance Ratio Notes

Different ratios in finance notes including formulas as well as explanations

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Pythagorean theorem

It,s about pythagoras theorem in simple and essay words that can be understood very easily

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Chapter 8 of Algebra II textbook

This is a scanned copy of chapter 8 from the Algebra II textbook

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Primitive

Primitive usuel

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Algebra - Polynomials

These notes provide a full coverage of all types of Polynomials.

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Markov Chain Applications part 2

This note is for master's or bachelor's students to learn about Markov chain application part 2. It is as straightforward as possible, following part 1.

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Measurement

Topic: Measurement Sub-topics: Circumference, arc length, area, area of a sector

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Redox Reactions with Questions and Answers

Practice questions with answers

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Probability - Everything You Need To Know

These are notes on everything in probability. Contents 1 Basic ideas 1 1.1 Sample space, events . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 What is probability? . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Kolmogorov’s Axioms . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Proving things from the axioms . . . . . . . . . . . . . . . . . . . 4 1.5 Inclusion-Exclusion Principle . . . . . . . . . . . . . . . . . . . . 6 1.6 Other results about sets . . . . . . . . . . . . . . . . . . . . . . . 7 1.7 Sampling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.8 Stopping rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.9 Questionnaire results . . . . . . . . . . . . . . . . . . . . . . . . 13 1.10 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.11 Mutual independence . . . . . . . . . . . . . . . . . . . . . . . . 16 1.12 Properties of independence . . . . . . . . . . . . . . . . . . . . . 17 1.13 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2 Conditional probability 23 2.1 What is conditional probability? . . . . . . . . . . . . . . . . . . 23 2.2 Genetics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.3 The Theorem of Total Probability . . . . . . . . . . . . . . . . . 26 2.4 Sampling revisited . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.5 Bayes’ Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.6 Iterated conditional probability . . . . . . . . . . . . . . . . . . . 31 2.7 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3 Random variables 39 3.1 What are random variables? . . . . . . . . . . . . . . . . . . . . 39 3.2 Probability mass function . . . . . . . . . . . . . . . . . . . . . . 40 3.3 Expected value and variance . . . . . . . . . . . . . . . . . . . . 41 3.4 Joint p.m.f. of two random variables . . . . . . . . . . . . . . . . 43 3.5 Some discrete random variables . . . . . . . . . . . . . . . . . . 47 3.6 Continuous random variables . . . . . . . . . . . . . . . . . . . . 55 vii viii CONTENTS 3.7 Median, quartiles, percentiles . . . . . . . . . . . . . . . . . . . . 57 3.8 Some continuous random variables . . . . . . . . . . . . . . . . . 58 3.9 On using tables . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 3.10 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4 More on joint distribution 67 4.1 Covariance and correlation . . . . . . . . . . . . . . . . . . . . . 67 4.2 Conditional random variables . . . . . . . . . . . . . . . . . . . . 70 4.3 Joint distribution of continuous r.v.s . . . . . . . . . . . . . . . . 73 4.4 Transformation of random variables . . . . . . . . . . . . . . . . 74 4.5 Worked examples . . . . . . . . . . . . . . . . . . . . . . . . . . 77 A Mathematical notation 79 B Probability and random variables 83

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Pnotes

I try to upload all the notes that you people need and try to upload neat and brief notes

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DISCRETE MATHEMATICS COMPLETE NOTES

In-depth analysis of all important topics in Discrete Mathematics. Must have for all

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statistic math VIII

chapter VIII

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Beginner's Guide to Systems of Equations, solving by substitution method.

Beginner's Guide to Systems of Equations, solving by substitution method, explanation step by step and exercises.

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Math095_Ch2.6 Ratio, Proportion, and Percent

 Intermediate Algebra: Study of rational exponents and radicals; quadratic, absolute value, rational and radical equations; complex numbers; absolute value inequalities; operations with functions; introduction to exponential and logarithmic functions; graphs of the basic functions and their translations.

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Chapter 1 - Introduction to Numbers

A basic introduction of high school math for those who have forgotten

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Physics Fundamentals: Free Fall

Class notes with theory, formulas, illustrations and solved exercises.

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