Random Variables

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8 Terms

1
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Expected value in desmos


2
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Variation in desmos


3
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Standard deviation in desmos


4
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Mean after linear transformation (Y = a + bX)

E(Y) = a + b(E(X))

5
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Standard deviation after linear transformation (Y = a + bX)

SD(Y) = |b|SD(X)

6
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Adding expected values

E(total) = E(X) + E(Y) (add or subtract normally)

7
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Adding variances

σ(total)² = σ(X)² + σ(Y)² (variances always add even if subtracting variables)

8
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Adding standard deviations

SD(total) = sqrt(σ(X)² + σ(Y)²)