It doesn't look like /bin resides on a read-only file system.
If you want /bin to be owned by the user lfs and group root, chown is the command to use. I'm surprised that it's not working.
Just to make sure that you're doing what I think you're doing, could you post the output of the following commands as you run them, in order:
Code:
$ su
# chown lfs:root /bin
# exit
$ mount