The other driver's insurance wants a statement from you even though you was not on fault in this accident and other driver was charged with the accident?

Yes, that is normal and you should comply. Insurance fraud is a huge problem in the industry and the other insurance company is only trying to confirm the nature of the accident. You never know when the other person may be trying to claim something for their benefit that didn't happen in the accident. Say for example the other person was really alone in the car but later told their insurance company that they had a passenger in the car with them that was injured in the accident. This invented passenger then makes a claim against the liability coverage of the driver and if and when it is settled the driver and their accomplace share in the bogus claim's settlement. Meanwhile your damage is taken careof as it should be but your statements could expose the attempted fraud trying to be committed by the other party. Believe me, all of us need to do our part in limiting fruad because the cost of fraud is included in our ever increasing insurance premiums.