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The floor of a real number n, writtten ⌊n⌋, is the greatest integer which is ≤...

The floor of a real number n, writtten ⌊n⌋, is the greatest integer which is ≤ n. For example, ⌊2.3⌋ = 2, and ⌊π⌋ = 3.

Suppose that X is an exponential random variable with mean 1/3. Then Y = ⌊X⌋ is a discrete random variable. Find its pmf. (It is one we have studied; call it by its name.)

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