 Once the Conviction Integrity Unit is fully staffed, people who claim they were wrongfully convicted in Hennepin County can apply to have their case reconsidered. It's similar to a state office that also examines past convictions. Moriarty says having a county-level office will allow the state office to focus on other cases. Cloudy skies today, a chance of showers and thunderstorms, high temperatures mid-70s to low 80s, but cooler 60s in the far northeast.