Question: Let X be a nonnegative continuous random variable with probability density func- tion f (x). Define if X > n Yn = otherwise. Prove that

 Let X be a nonnegative continuous random variable with probability density
func- tion f (x). Define if X > n Yn = otherwise.

Let X be a nonnegative continuous random variable with probability density func- tion f (x). Define if X > n Yn = otherwise. Prove that Yn converges to 0 in probability

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