Given that the probability of error in the transmission of a bit over a communication channel is p=10e-4

a) Compute the probability of error in transmitting a block of 1024 bits

b) What is the probability of more than three errors in transmitting a block

of 1000 bits?

c) If a message is not transmitted correctly, a retransmission is initiated.

This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that no transmissions are required? What is the probability that exactly two retransmissions are required?