How many independent uses of the channel we must simulate, Basic Statistics

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How many independent uses of the channel we must simulate

Question: We wish to simulate a communication system on a digital computer and estimate the error probability by measuring the relative frequency of error. Approximate by means of

a. the Chebyshev inequality,

b. the central limit theorem,

c. the Chernoff bound,

How many independent uses of the channel we must simulate in order to be 99.9 % certain that the observed relative frequency lies within 5% of the true p[ε], which we may assume is-lees-than 0.01.

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