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Question: suppose that 12 where z is any random variable with...

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Suppose that 1/2 where Z is any random variable with E22c, say, with c> 0 and a E R fixed, and X is any other random variable. (a) Let e > 0. Use Chebyshevs inequality to show that (b) For what values of does the argument in part (a) prove that Xn converges in probability to X? (c) For the values of α identified in part (b), what other mode of convergence of Xn to X is assured (without any further calculations)?

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