Hasty generalization: Writers use hasty generalization when they make broad conclusions based on inadequate information. Hasty generalizations also stem from people’s biases and prejudices. Here's a hasty generalization about women:
My mother and aunts are bad at parallel parking. My mother and aunts are women. So, all women are bad at parallel parking.
It's when someone makes a fast and false conclusion because they only know the general idea of the thing they are concluding, and not all of the facts, if that makes sense. It's kind of like a stereotype, automatically assuming that someone is a certain way just because they participate in a certain sport, for example.
The answer to your question would be prohibited as it does mean to be forbidden or not allowed to and on this sentence is saying that since it was too noisy it was impossible to study.