Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 9 (Q.No. 24)
24.
Consider a Binary Symmetric Channel (BSC) with probability of error being p. To transmit a bit, say 1, we transmit a sequence of three 1 s. The receiver will interpret the received sequence to represent 1 if at least two bits are 1. The probability that the transmitted bit will be received in error is
p3 + 3p2 (1 - p)
p3
(1 - p)3
p3 + p2 (1 -p)
Answer: Option
Explanation:

Probability of error = P

Thus probability of no error = (1 - P)

Now probability that transmitted bit, received in error

= all bits are with error + one bit is with error

= P3 + 3C1P2 (1 - P) = P3 + 3P2 (1 - P).

Discussion:
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