Let X be an Exponential random variable with E(X) = 1/. Define Y = [X], i.e., Y

Question:

Let X be an Exponential random variable with E(X) = 1/λ. Define Y = [X], i.e., Y is the least integer that is greater than or equal to Y. For instance, if X = 5.3, then Y = 6. If X = 4.99, then Y = 5. If X = 5.00001 then Y = 6. If X = 5.99999 then Y = 6. What is the of Y?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...