We wish to modify the cellular telephone coding system in example 2.21 in order to reduce the number of errors. in particular, if there are two or three zeros in the received sequence of 5 bits, we will say that a deletion (event d) occurs. otherwise, if at least 4 zeroes are received, the receiver decides a zero was sent, or if at least 4 ones are received, the receiver decides a one was sent. we say that an error occurs if i was sent and the receiver decides j ≠ i was sent. for this modified protocol, what is the probability p[e] of an error?