Question: 1) Let X be a nonnegative random variable with a finite expectation. Define the sequence of a random variables Y(n), n1, by Y(n)=1 if X>n

1) Let X be a nonnegative random variable with a finite expectation. Define the sequence of a random variables Y(n), n1, by Y(n)=1 if X>n and Y(n)=0 otherwise. Show that Y(n) converges to 0 in probability (Hints apply the Markov's inequality)

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