> These events release a lot more radiation than coal plants.

Unless you have data that supports this statement, I'd state the opposite. It's easy to think nuclear accidents release a lot of radiation, but the actual accumulated dose from nuclear power (including accidents) for the average individual over time is very low. Coal, on the other hand, continuously spews out radioactive ash in large quantities.

Granted, other sources of radiation (radon, cosmic rays, medical x-rays, etc.) are a lot larger, but if comparing the two I'd guess coal is the larger culprit even when including nuclear accidents.