In a sequence of Bernoulli trials let & occur when the accumulated number of successes equals 1

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In a sequence of Bernoulli trials let & occur when the accumulated number of successes equals 1 times the accumulated number of failures; here is a positive integer. [See example (1.c).] Show that & is recurrent if, and only if, plq, that is, p = /(+1). Hint: Use the normal approximation.

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