Being convicted of a felony doesn't mean you can't get a Amateur or GMRS license. The question is asked because, following a conference with the FCC and the NCVEC, the government and community at large are looking to make the community safer. The character of the applicant is relevant, as licensees represent the US government and the citizens. Some examples that will get you denied are convictions for pedophilia, weapons or drug trafficking, human trafficking, acts of terrorism, etc. If you have a felony 'hit and run' or aggravated battery from 25 years ago, they probably wouldn't flag you. What I find amazing is, they ask on a radio license application, but someone thought it was a good idea to make it illegal to ask if you are a felon on a job application. SMH