Question: Let X be a nonnegative random variable. We say that X is memory less if P(X > s + t|X > t) = P(X >

Let X be a nonnegative random variable. We say that X is memory less if
P(X > s + t|X > t) = P(X > s) for all s, t ≥ 0
Show that a random variable with pdf fX(x) = (1/λ)e−x/λ, x > 0, is memory less.

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