Discrete Distributions and Expectation (AQA A-Level Further Maths): Flashcards

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Discrete Distributions and Expectation
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Discrete random variable

Takes only specific, separate values

Mode of discrete random variable

Value with greatest probability

Expected value formula E[X]E[X]

∑xP(X=x)\sum xP(X=x)

Alternative variance formula

Var(X)=E[X2]−(E[X])2\text{Var}(X) = E[X^2] - (E[X])^2

Standard deviation σ\sigma from variance

σ=Var(X)\sigma = \sqrt{\text{Var}(X)}

Uniform distribution mean (nn values)

μ=n+12\mu = \frac{n+1}{2}

Uniform distribution variance (nn values)

σ2=n2−112\sigma^2 = \frac{n^2-1}{12}

E(aX+b)E(aX + b) equals

aE(X)+baE(X) + b

Var(aX+b)\text{Var}(aX + b) equals

a2Var(X)a^2\text{Var}(X)

E(X+Y)E(X + Y) for any variables XX, YY

E(X)+E(Y)E(X) + E(Y)

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Discrete and Continuous Random Variables

Hypothesis Testing and Contingency Tables

Random Processes

Hypothesis Testing and the t-Test

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Discrete and Continuous Random Variables

Hypothesis Testing and Contingency Tables

Random Processes

Hypothesis Testing and the t-Test

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Discrete and Continuous Random Variables

Hypothesis Testing and Contingency Tables

Random Processes

Hypothesis Testing and the t-Test

Explore AQA A-Level Further Maths Exam Questions by Topics

Discrete and Continuous Random Variables

Hypothesis Testing and Contingency Tables

Random Processes

Hypothesis Testing and the t-Test

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