H2 Math Summary Notes

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Pure Mathematics
Unit 1 Inequalities
1 Question
Basics of Test Point Method
Unit 2 Graphing Techniques
7 Questions
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Unit 3 Transformation of Graphs
2 Questions
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Unit 4 Functions
6 Questions
Conceptual Video
How to Use GC to Plot an Inverse Graph
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Unit 5 APGP & Recurrence Relations
6 Questions
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Unit 6 Sigma Notation
6 Questions
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Unit 7 Techniques of Differentiation
2 Questions
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Unit 8 Applications of Differentiation
9 Questions
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Unit 9 Maclaurin Series
2 Questions
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Unit 10 Techniques of Integration
6 Questions
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Unit 11 Applications of Integration
4 Questions
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Unit 12 Differential Equations
2 Questions
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Unit 13 Vectors
11 Questions
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Unit 14 Complex Numbers
6 Questions
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Statistics
Unit 15 Permutation and Combinations
7 Questions
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Unit 16 Probability
5 Questions
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Unit 17 Discrete Random Variable
4 Questions
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Unit 18 Binomial Distribution
5 Questions
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Unit 19 Normal Distribution
7 Questions
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Unit 20 Sampling and Estimation
8 Questions
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Unit 21 Hypothesis Testing
6 Questions
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Unit 22 Correlation and Linear Regression
5 Questions
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Worked Example 1

H2 Math Summary Notes Unit 17 Discrete Random Variable Worked Example 1

There are 3 red balls and 5 blue balls in a bag. 2 balls are drawn from the bag with replacement.

Let [latex]X[/latex] be the random variable of number of red balls drawn. Construct the probability distribution table for [latex]X[/latex] and show that [latex]X[/latex] is a discrete random variable. Find [latex]\text{E}\left( X \right)[/latex] and [latex]\text{Var}\left( X \right)[/latex].

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