I think your estimates are way off. A study in 2014 found that 4% of death row inmates were wrongly convicted[1]. This is likely to be the highest scrutiny cases in our system, so I'd expect that non-death penalty cases would have a wrongly convicted rate of >= 4%. And that's not even counting the people that have been leveraged into plea deals for crimes they didn't commit simply because the system is so weighted against them.
1: https://www.pnas.org/doi/full/10.1073/pnas.1306417111