Radio randomly turns on and off?

The radio power is supplied by the BCM which could be going out but if the fuses at the BCM have power while the radio is not working the radio is bad. Here is a guide to help you check for power and the radio wiring diagrams so you can see how the system works and which fuses to check for power when the radio is not working.

https://www.2carpros.com/articles/how-to-use-a-test-light-circuit-tester

Here is how to change the radio out as well. Check out the images (below). Please let us know how it goes.