Without being educated in high Mathematics, I randomly claim that the relation of expected distance to time (spread = time^(0.5)) is based on the probability of a random direction to lead to an increase of distance. This probability is 50%!
Now, assuming this is correct, how would the the formula for estimating the spread look if we doubled that probability? (Doubled in an independent sense: Given a random motion would lead to a decrease in distance distance from the start, this randomness is applied a second time and the motion is only executed if both random events point inwards. =would decrease the distance)
I assume the formula would change to: spread = time^(3/4)
So my 2 questions are:
- Is the premise of this question any valid?
- How would the time dependence change, given these assumptions?