Question: Probability question: Let X1, X2,....be a sequence of random variables such that P(X of n = 1/n) = 1 - 1/n^2 and P(X of n

Probability question: Let X1, X2,....be a sequence of random variables such that P(X of n = 1/n) = 1 - 1/n^2 and P(X of n = n) = 1/n^2.

Does X of n converge in probability? Does X of n converge in quadratic mean?

Any assistance would be greatly appreciated. Thanks.

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