If r is a real number, the ceiling of r, denoted r, is the smallest integer not
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If r is a real number, the ceiling of r, denoted ⌈r⌉, is the smallest integer not less than r. For instance, ⌈0.25⌉ = 1 and ⌈4⌉ = 4. Suppose X ∼ Exp(λ). Let Y = ⌈X⌉. Show that Y has a geometric distribution.
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