The mutually independent random variables X assume the values r = 2, 3, 4, with probability p,

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The mutually independent random variables X assume the values r = 2, 3, 4, with probability p, = c/(r2 log r) where c is a constant such that p, 1.

Show that the generalized law of large numbers (4.1) holds if we put ecn log log n =

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