35. LetI mage be the time of the first event ofI mage, a Poisson process with rate...

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35. LetI mage be the time of the first event ofI mage, a Poisson process with rate λ. For another way to show thatI mage is exponential with rate λ, let be its failure rate function. Using that show thatI mage is exponential with rate λ.

Hint: Write as a conditional probability involving random variablesI mage and .

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