Final answer:
The completed sentence is 'With administrator privileges or root access, a process has complete control of the system.' This level of access allows a user or a program to perform all administrative tasks, including monitoring network traffic and altering privileges.
Step-by-step explanation:
The phrase you're looking for to complete the sentence is 'administrator privileges' or 'root access'. With administrator privileges, a process has complete control of the system and can add or change programs and files, monitor other processes, send and receive network traffic, and alter privileges. It's a level of permission that allows a user or a program to perform all administrative tasks on a computer system, such as installing software, changing system settings, and accessing all files. In the context of network traffic, monitoring capabilities can include packet sniffing or port scanning, which are often used for both legitimate purposes and malicious activity such as eavesdropping or unauthorized data collection.