Of course you can find examples of people who didn't get a diploma and had significant inventions, there are a few truly smart and totally self-motivated people in the world! Using Carmack & the Wright Brothers doesn't actually support what @elliekelly claimed above, nor contradict my comment. The claim made above that inventions outweigh education economically is a false proposition for starters, but it's also a claim that is going to be extremely tough to back up because (my claim is) inventions are statistically correlated with education, and not just a little. I think if you stack up all the important inventions, you'll find a vast, vast majority of the inventors have diplomas, and that major inventions by people with little to no formal education beyond childhood are relatively rare.
I'll back up my claim with a little bit of data...
"Beyond R&D spending, a crucial input into producing patents is education. Contrary to the stereotype of the college-dropout entrepreneur, innovation—at least as measured by high-quality patent activity—is almost exclusively accomplished by people with advanced degrees. Most often, this entails some amount of education beyond an undergraduate degree: 45 percent of triadic patent holders hold a PhD, MD, or equivalent degree, and 70 percent have at least a master’s degree. Only 23 percent completed only a bachelor’s degree, and 7 percent have not completed a four-year degree.
"Patent holders are substantially more educated than the rest of the population. Only 3 percent of the adult U.S. population has a professional or doctoral degree, but 45 percent of patent holders hold a degree at that level. And, while more than 90 percent of patent holders have at least a bachelor’s degree, just 27 percent of the overall population does. The importance of education in innovative activity highlights some of the broader spillovers to the economy from an educated workforce." [1]
I'll back up my claim with a little bit of data...
"Beyond R&D spending, a crucial input into producing patents is education. Contrary to the stereotype of the college-dropout entrepreneur, innovation—at least as measured by high-quality patent activity—is almost exclusively accomplished by people with advanced degrees. Most often, this entails some amount of education beyond an undergraduate degree: 45 percent of triadic patent holders hold a PhD, MD, or equivalent degree, and 70 percent have at least a master’s degree. Only 23 percent completed only a bachelor’s degree, and 7 percent have not completed a four-year degree.
"Patent holders are substantially more educated than the rest of the population. Only 3 percent of the adult U.S. population has a professional or doctoral degree, but 45 percent of patent holders hold a degree at that level. And, while more than 90 percent of patent holders have at least a bachelor’s degree, just 27 percent of the overall population does. The importance of education in innovative activity highlights some of the broader spillovers to the economy from an educated workforce." [1]
(emphasis mine)
[1] https://www.hamiltonproject.org/charts/most_inventors_have_g...
https://voxeu.org/article/does-education-lead-more-innovatio...
http://www2.itif.org/2016-demographics-of-innovation.pdf