A tiny drop of dye is put in a very still tub of water. The dye molecules travel about 10^-11 m between collisions and undergo about 10^13 collisions per second. The direction of any step is completely arbitrary; all directions are equally probable. For molecular motion in one direction, calculate the average distance traveled and the standared deviation after:
a) one step
b) one minute
c) one year (3.17x10^7 sweconds)