If you hook up ONLY the digital coax cable from coax digital out on the cable box to coax digital in on the receiver, then NO you will not be able to hear sound from analog only channels. You must also connect cables from the analog audio outs of the cable box to the analog audio in on the receiver.
As markw already said, you can use the 'digital' coax cable for analog audio (except you need two of them, one for the left and one for the right).
So to get both digital and analog signals from the cable box to the receiver you need 3 cables:
1. 1 digital coax (any 75Ohm cable will do)
2. 2 analog audio cables (l/r). You can use normal 50 Ohm analog audio cables (color code white for left and red for right) or the same digital coax you used for the digital connection.