A data transmission system uses messages of duration T seconds. After each message transmission, the transmitter stops and waits Tseconds for a reply from the receiver. The receiver immediately replies with a message indicating that a message was received correctly. The transmitter proceeds to send a newmessage if it receives a reply within T seconds; otherwise, it transmits the previous message. Suppose that messages can becompletely garbled while in transit, and that this occurs with probability p. Find the maximum possible rate at which messages canbe transmitted from the transmitter to the receiver.