Final answer:
The hard drive is the device that will store data even when the computer is turned off but should be backed up regularly due to risks of data loss.
Step-by-step explanation:
The storage device that will store data even when the computer is turned off but may lose data and should be backed up is the hard drive (Option 1). Hard drives are non-volatile storage devices, meaning they retain information without the need for power. However, they are susceptible to physical damage, data corruption, and failure, so it is important to back up the data stored on them regularly. In contrast, ROM (Read-Only Memory) is used to store firmware that rarely changes and RAM (Random Access Memory) is a volatile memory which completely loses data when the computer is turned off or restarted.