Which term refers to forming a plausible assumption based on known facts or occurrences?

The term that refers to forming a plausible assumption based on known facts or occurrences is "hypothesize." This process involves generating a possible explanation or solution that can be tested through further investigation or experimentation. By hypothesizing, one uses existing knowledge to create a theoretical statement that can lead to new insights or understanding.

In the context of the other options, "justify" involves providing reasons or evidence to support a claim or argument rather than forming an initial assumption. Similarly, "judge" implies making a decision or forming an opinion about something based on criteria or evidence, which is different from the creative and exploratory nature of hypothesizing. "Investigate" focuses on the act of exploring or examining something in depth to gather more information or data, rather than the initial formulation of a theory based on pre-existing knowledge.

Thus, hypothesizing is specifically about making educated assumptions that can guide research and inquiry.