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Theorems · Theorem · probability

ProbabilityTheory.cdf_expMeasure_eq

∀ {r : ℝ},
  0 < r →
    ∀ (x : ℝ),
      ↑(ProbabilityTheory.cdf (ProbabilityTheory.expMeasure r)) x = if 0 ≤ x then 1 - Real.exp (-(r * x)) else 0

The CDF of the exponential distribution equals `1 - exp (-(r * x))`

Defined in
Mathlib.Probability.Distributions.Exponential
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Foundations
Depth 289 from the axioms · uses propext, Classical.choice, Quot.sound

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