What you are seeing these days, that feels like a short term - once in a life time weather - is actually caused by climate change - so there is nothing random about it, it is fully man made.

The freeze of the US over the past weeks is cause by shifting jet streams which is allowing and pulling more of the cold air from the noth pole down. In return the north pole have gotten a little bit warmer because, hey you got the cold air instead, and in return you will find that more ice will melt.

The extremes rains on the west coast, is also caused by warming of the pacific oceans all the way over by the Philippines, when the ocean is just 1-2F warmer it evaporates significantly more ocean water, and that then drops when it reaches land.

So the "paradox" is that the same global warming can result in climate change in different ways, causing weather to be "weird" like freezing in the midwest, and extreme rain in the west.

I'm sure we could find plenty of other examples - but the pattern is the same - the weather is going to be more extreme in different ways, with each region being affected differently.