(c) Suppose that F - Bin(2m + 1, 5). Use Chebyshev's inequality to boundP[F > m].From (c), deduce that the probability of a decoding error in the binary sym-metric channel (BSC) with symbol error probability p = can be madearbitrarily small by using a sufficiently long repetition code.

Answered: (c) Suppose that F - Bin(2m + 1, 5).…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter87: An Introduction To G- And M-codes For Cnc Programming

Section: Chapter Questions

Problem 14A

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(c) Suppose that F - Bin(2m + 1, 5). Use Chebyshev's inequality to bound P[F > m]. From (c), deduce that the probability of a decoding error in the binary sym- metric channel (BSC) with symbol error probability p = o can be made arbitrarily small by using a sufficiently long repetition code.