Why are people who haven't done anything wrong taken into custody? I watched the first two episodes, and the anime was really interesting. Why are people who have a high number on the psycho-pass shot? In episode one, the victim was shot because she had a huge number on the psycho-pass. It doesn't make any sense to me.
Crime Coefficient is a measure of a target's probability/propensity to commit a crime. The MWPSB uses it as a measurement to determine if a target is a latent criminal or otherwise.
It is calculated and determined by the stress level (Hue), and other biological readings of a person via cymatic scan through the Sibyl System.
Level of Crime Coefficient

Under 100 - Suspect is not a target for enforcement action. The trigger of Dominator will be locked.
100 to 300 - Suspect is classified as a latent criminal and is a target for enforcement action. Dominator is set to Non-lethal Paralyzer mode. Suspect can then be knocked out using the Dominator.
Over 300 - Suspect poses a serious threat to the society. Lethal force is authorized. Dominator will automatically switch to Lethal Eliminator. Suspect that is hit by Lethal Eliminator will bloat and explode.

Source

Make sure to check your crime coefficient!
Unhappily my coefficient is of 420 so I no longer belong to this world.