Would it be unprofessional if I email professors asking for an internship?

<p>How many of you guys send a complete research proposal to the scientist along with your email? I’m assuming at least some of you want to enter in science fairs, and having your own research plan seems to be the only way to guarantee a good project. Otherwise, it’s kind of based on luck (getting interesting results). Well, at least for biology, which is my field.</p>