Here are a few screen captures of a DS1104Z series oscilloscope with various inputs. The intent is to show the basic noise you can expect from a similar instrument.
Figure 1: DS1104Z with open input, 10mV/div vertical scale, 1us/div horizontal scale.
Figure 2: DS1104Z with 10x probe connected to probe compensation point. 500mV/div vertical scale, 200us/div horizontal scale.
Figure 3: DS1104Z with 10x probe connected to probe compensation point. Zoomed to 10mV/div vertical scale, 200us/div horizontal scale.
Figure 4: DS1104Z with 1V DC input. Direct connection to function generator with coaxial cable. 10mV/div vertical scale, 200us/div horizontal scale.