Final answer:
To prioritize redundancy over performance in a network attached storage with two new hard drives, RAID 1 would be used. This method mirrors data between the drives, offering redundancy but not increasing performance.
Step-by-step explanation:
If you are tasked with installing two new hard drives into a network attached storage device and are looking for a RAID solution that prioritizes redundancy over performance, the best option would be RAID 1. RAID 1, also known as mirroring, creates an exact copy of data on two or more disks. This means if one disk fails, the data can still be accessed from the other disk, thus providing redundancy. It does not, however, improve performance in terms of data read/write speeds.
Other RAID levels, such as RAID 0 (stripping), focus on performance by splitting the data across multiple drives but do not offer redundancy, so if one drive fails, all data on the RAID 0 array could be lost. RAID 5 offers a balance of redundancy and performance by striping data across multiple drives and using parity information to reconstruct data in case of a drive failure, needing at least three disks to function. However, for utmost redundancy with only two drives, RAID 1 is the optimal solution.