A full duplex binary $FSK$ transmission is made through a channel of bandwidth $10\;kHz$. In each direction of transmission the two carriers used for the two states are separated by $2\;kHz$. The maximum baud rate for this transmission is:
- $2000\;bps$
- $3000\;bps$
- $5000\;bps$
- $10000\;bps$