Answer Happy

With regards to questions 2.4.2 in Probability and StochasticProcesses: A Friendly Introduction for Electrical and ComputerEngineers, 3rd Editionsetup Information from example 2.21 for problem 2.4.2To communicate one bit of information reliably, cellular phonestransmit the same binary symbol five times. Thus the information“zero” is transmitted as 00000 and “one” is 11111. The receiverdetects the correct information if three or more binary symbols arereceived correctly. What is the information error probabilityP[E], if the binary symbol error probabilityis q = 0.1?Question 2.4.2 We wish to modify the cellular telephone codingsystem in Example 2.21 in order to reduce the number of errors. Inparticular, if there are two or three zeroes in the receivedsequence of 5 bits, we will say that a deletion (event D) occurs.Otherwise, if at least 4 zeroes are received, the receiver decidesa zero was sent, or if at least 4 ones are received, the receiverdecides a one was sent. We say that an error occurs if i was sentand the receiver decides j ≠ i was sent. For this modifiedprotocol, what is the probability P[E] of an error? What is theprobability P[D] of a deletion?