Maybe, but personally, my dreams are usually either wishes, frustration, or deja vu. I can't recall any that were psychic.
Yeppers. I've had a few.
That depends on what you mean by "predict".
If you mean some sort of magical, supernatural "view the future" - NO
But if you mean that our subconscious pieces together a lot of information we are not consciously aware of ... and it may come out in our dreams as to a possible future outcome - YES.
I can not believe that many people believe a brain state can predict the future
Haven't seen Kate Upton, knocking on my door... after a bag of money, fell from the sky and landed by my back steps..