Question

A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

Answer 1

Answer: The probability that a 1 was transmitted is (0.3)²(0.7)³ which = 0.031

Explanation:

The attachment below simply explains how to solve it using Bayer's rule