Suppose bits (0s or 1s) are being sent over a network in packets, where every packet has a fixed size of exactly 10 bits. The last bit is not part of the message, but is a checksum bit, used to indicate whether the other bits were transmitted correctly. The last bit is set by the sender to 0
if in the previous 9 bits there an even number of 1s, and the last bit is set to 1 if in the previous 9 bits there is an odd number of 1s.
a. True or false: the sender always sends a packet with an even number of bits set to 1.
b. Explain how the receiver of the packet can use this scheme to determine whether it is likely that a bit was flipped during transmission.
c. Is there any possibility that the receiver will get a corrupted packet, and yet won't be able to tell that? Explain your answer carefully.