Problem #6 – A sequence of 12 data bits is sent,with a 13th parity bit added. The parity bit addedis chosen to make the total number of 1's odd.|The bit error rate is 2 x 10-5.(a) What is the probability of no error?(b) What is the probability of a detected error,meaning the parity does not match, and thus therecipient knows either the data or the parity bit isnot valid.(c) What is the probability of an undetected error,meaning the parity matches, but in reality the datareceived is incorrect.

Bit error rate is 0.00002 Probability of no bit error in single bit = 1 - 0.00002 = 0.99998…

Problem #6 – A sequence of 12 data bits is sent, with a 13th parity bit added. The parity bit added is chosen to make the total number of 1's odd. The bit error rate is 2 x 10-5. (a) What is the probability of no error? (h) Wh

Problem #6 – A sequence of 12 data bits is sent, with a 13th parity bit added. The parity bit added is chosen to make the total number of 1's odd. The bit error rate is 2 x 10-5. (a) What is the probability of no error? (h) Wh

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Problem #6 – A sequence of 12 data bits is sent,
with a 13th parity bit added. The parity bit added
is chosen to make the total number of 1's odd.
|
The bit error rate is 2 x 10-5.
(a) What is the probability of no error?
(b) What is the probability of a detected error,
meaning the parity does not match, and thus the
recipient knows either the data or the parity bit is
not valid.
(c) What is the probability of an undetected error,
meaning the parity matches, but in reality the data
received is incorrect.

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