Question: Let U be a random variable which is uniformly distributed on (0, 1); and define the random variables Yn, n 1, by Now, since, with

Let U be a random variable which is uniformly distributed on (0, 1); and define the random variables Yn, n 1, by

Yn = 0, if U> 1/n n, if U

Now, since, with probability 1, U will be greater than 0, it follows that Yn will equal 0 for all sufficiently large n. That is, Yn will equal 0 for all n large enough so that 1

Yn = 0, if U> 1/n n, if U

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