Final answer:
An administrator account has its privileges due to being part of the Administrators group, which grants the highest level of permissions to perform tasks like installing software and modifying system settings.
Step-by-step explanation:
An administrator account on a computer system derives its privileges from being a member of the Administrators local group. This group has the highest level of permissions on a computer, allowing members to perform tasks such as installing software, changing system settings, and accessing all files on the system. Being part of the Administrators group means that the account can manage other user accounts, modify system-wide settings, and have full access to the system without any restrictions imposed by User Account Control (UAC).