In a digital communication system which transmits l's and 0's the probability of a 0 beingtransmitted is 0.45 and the probability of a 1 being transmitted is 0.55. Because of noise in thesystem, sometimes a bit is detected wrong. Let the probability of a transmitted 0 being receivedas a l be 0.1 and the probability of a transmitted 1 being received as a 0 be 0.04.1. Ifa 0 is received, what is the probability that that bit was sent as a2. If a l is received, what is the probability that that bit was sent as a 1?3. In a very long message, what fraction of the bits is received wrong?0?

Name: In a digital communication system which transmits l's and 0's the pro
Uploaded: 2024-03-20T07:06:41.000Z
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Description: In a digital communication system which transmits l's and 0's the probability of a 0 beingtransmitted is 0.45 and the probability of a 1 being transmitted is 0.55. Because of noise in thesystem, sometimes a bit is detected wrong. Let the probability

Given: In digital communication it transmits the values of 1’s and 0’s with the probability of 0 and…

Math

Probability

In a digital communication system which transmits l's and 0's the probability of a 0 being transmitted is 0.45 and the probability of a 1 being transmitted is 0.55. Because of noise in the system, sometimes a bit is detected wrong. Let the probability of a transmitted 0 being received as a I be 0.1 and the probability of a transmitted 1 being received as a 0 be 0.04. 1. Ifa 0 is received, what is the probability that that bit was sent as a 0? 2. If a l is received, what is the probability that that bit was sent as a 1? 3. In a very long message, what fraction of the bits is received wrong?