Question: Let X be an Exponential random variable with E(X) = 1/. Define Y = [X], i.e., Y is the least integer that is greater than

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?

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