Is this wrong on my part?
Right vs wrong is not the question you should ask. The question you should ask is, "is this beneficial to me from a career perspective?"
That answer is easy - no, it is not beneficial to lack initiative and simply wait until another person gives you work/answers before being productive. Plus, taking initiative and finding more things to do is a great resume/interview discussion point. "At my last job, I often had periods of dead time, but I was able to do XXXX, YYYY, and ZZZZ to contribute anyways."
Additionally, think of internships as part of an extended interview - would you want your employer to see that part of you during their interview? Probably not.
What should I do?
Take initiative to find things to do. Managers do not want employees who only do what they are told. They want people who find problems, find solutions, and implement solutions. They (mostly) don't want to babysit, they want you to say "here's a problem, here's what I think can be done, should I do this?" and allow them to tweak the proposal or just go "yep! sounds good!"
So, do this. Find a problem and look into it. Ask your busy coworkers "are there things I can do to help you with your workload?" etc. Just a note, make sure to ask your direct supervisor about this first or say "I'm finding myself having a lot of dead time. I was thinking of asking people for more work/responsibilities - is that ok?"
A lot of managers/supervisors don't realize most interns do NOT ask these sorts of questions consistently, either, and so simply asking this of your direct supervisor might result in considerably more responsibilities/tasks just from him or her.