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Suppose $W_1, W_2, ...$ is a sequence of random variables. $W_n$ is defined as the following $W_n = 1/n$ with probability 1/2 and 0 with probability 1/2. Using the definition of convergence in probability, show that $W_n$ converges to 0 in probability. So far, I have tried using Chebyshev's and Markov's inequality, but have gotten nowhere. Any help is appreciated and thanks in advance.

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    Markov's inequality gives the solution in no time. Try once again.2011-10-31
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    Thanks that worked wonderfully.2011-10-31

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