You are given a random exponential variable X: f(x) = λ exp(-λ x).(adsbygoogle = window.adsbygoogle || []).push({});

Suppose that X = Y + Z, where Y is the integral part of X and Z is the fractional part of X:

Y = IP(X), Z = FP(X).

Which is the following conditional probability:

P(Z < z | Y = n) for 0 ≤ z < 1 and n = 0, 1, … ?

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# On conditional probability of an exponential random variable

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