Final answer:
The statement that the prime minister does not have to be a member of Parliament in a parliamentary system is false; the prime minister is typically an elected member of the legislative body and leads the majority party or a coalition.
Step-by-step explanation:
Under the parliamentary system of government, the statement that the prime minister does not have to be a member of Parliament is false. In a parliamentary system, the chief executive, which is usually known as the prime minister, is chosen from the elected members of the legislative body. This is a distinguishing feature and a key component of a parliamentary system where the executive and legislative branches are interconnected.
The role of the prime minister within a parliamentary regime is significant and includes being a member of the legislature. They are generally the head of the majority party in Parliament, or the leader of a coalition in cases where no single party has a majority. Thus, the prime minister is expected to be an elected member of Parliament who can command a majority there, making it essential for them to be part of the legislative body to exercise their functions.