No I'm not agree that every successful trader is educated.I have a few friends that use trading and he/she is already successful trader now.but he/she is not educated person.maybe other people is educated and being successful traders.
High level of education will become a good thing for traders. But since there is no formula to be able to get steady income, high degree of education isn't the only thing to be able to be a successful traders.
You right high eduaction will probably give you additional positives to increase the likelihood of profit. but that doesn't mean profit is generated only from high education only. many traders do not go to college. like my friend but he is very smart in trading strategies. and generate huge profits