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Year 12
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Mathematical Methods
Discrete random variables
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Discrete random variable properties
1
Validate, complete and normalise a discrete probability distribution
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2
Finite events, probability assignments and complements
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Distributions from finite experiments
3
Distribution of a finite random variable
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4
Represent a multi-stage finite sample space
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Expected value, variance and standard deviation
5
Expected value and linear expectation of a discrete random variable
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6
Variance, standard deviation and linear variance of a discrete random variable
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Discrete distribution events and transformations
7
Interval, conditional and μ ± 2σ probabilities from a discrete distribution
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8
Distribution of a linear transformation of a discrete random variable
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9
Conditional probability from exact representations
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Chapter 9
Chapter 11