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Math Forum » Discussions » sci.math.* » sci.stat.math.independent

Topic: On conditional probability of an exponential random variable
Replies: 1   Last Post: Jun 26, 2012 2:24 PM

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Pietro Costan

Posts: 6
Registered: 5/26/12
On conditional probability of an exponential random variable
Posted: Jun 26, 2012 1:52 AM
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You are given a random exponential variable X: f(x) = a exp(-a x).
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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