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Exercise 5.6.4: Error-correcting codes and the probability of transmitting a message without errors (a) A communication...

Exercise 5.6.4: Error-correcting codes and the probability of transmitting a message without errors

(a) A communication channel flips each transmitted bit with probability 0.02. The event that one bit is flipped is independent of the event that any other subset of the bits is flipped.

A 100-bit message is sent across the communication channel and an error-correcting scheme is used that can correct up to three errors but expands the length of the message to 110 bits. What is the probability that there is an error in the message after the message has been transmitted?

Math   Statistics-And-Probability   
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