5. Binomial Distribution

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Introduction

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   The binomial distribution describes the number of successes in a fixed...

2. 2

   Conditions & Prerequisites

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   This section outlines the essential conditions that must be met for a random...

3. 2.1

   Conditions

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   The section outlines the essential conditions that define when a random...

4. 3

   Notation

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   This section introduces the notation used in binomial distributions,...

5. 4

   Binomial Probability Formula

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   The Binomial Probability Formula calculates the probability of achieving...

6. 5

   Derivation Idea

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   This section explains the derivation of the binomial probability formula by...

7. 6

   Key Properties

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   This section outlines the key properties of the binomial distribution,...

8. 7

   Cumulative Probabilities

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   Cumulative probabilities assess the likelihood of achieving a specific...

9. 8

   Worked Examples

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   This section presents worked examples for understanding the binomial...

10. 8.2

    Example 1 – Cumulative Probability

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    This section focuses on calculating cumulative probabilities in a binomial...

11. 8.3

    Example 2 – Mean & Variance

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    This section covers the calculation of mean, variance, and standard...

12. 8.4

    Example 3 – At Least 𝑘

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    This section explains how to calculate the probability of obtaining at least...

13. 9

    Approximations For Large 𝑛

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    This section explains how to approximate the binomial distribution with a...

14. 10

    Ib‐style Problem

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    This section presents an IB-style problem involving the binomial...

15. 11

    When Not To Use Binomial

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    This section outlines scenarios where the binomial distribution is not...

16. 12

    Tips For Ib Exams

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    This section provides essential strategies for effectively approaching IB...

17. ✅

    Summary

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    The binomial distribution quantifies the number of successes in a given...