Is it legal for someone to sell tickets to a concert and sing a famous persons (like justin bieber or michael jackson) song without permission

A performer can give a live performance of "covers" of songs. Usually the venue hosting the event will have licenses from the major performing rights societies such as ASCAP and BMI that will pay the royalties for the performance. You can also record a "cover" of a song by getting a mechanical license, usually from the Harry Fox Agency, and paying a royalty. However, posting a recording of your performance of the cover song on You Tube is a different question and not covered by the live performance royalty or mechanical license. In that case, you are synchronizing the song to video and so you would need a separate "synchronization license." To get a "synchronization license," you would have to contact the publisher.