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Exponential Distribution PDF Calculator

Density and survival probability at time t.

Compute the probability density function f(t) = λ · e^(−λt) and the survival function S(t) = e^(−λt) of an exponential distribution at time t for a given rate λ.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

f(t) = λ · e^(−λt); S(t) = e^(−λt).

In depth

Compute the probability density function f(t) = λ · e^(−λt) and the survival function S(t) = e^(−λt) of an exponential distribution at time t for a given rate λ.