Generate random numbers with certain spikes?

I am trying to generate random numbers to simulate steering wheel angles and velocities of a car. So for steering wheels the random numbers could go like 1,2,4,6,4,3,40,0. I can generate random numbers but the problem is it wouldnt make sense to have truly random numbers for steering angle data. So usually a driver only turns a few degrees unless there is a turn and somtimes he will not steer and the steering angle would be just zero. Can someone give me some advice regarding this?