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New user has been reminded to show their work on schoolwork questions
 Homework Statement:

A boy on top of a ladder of height (H) is dropping marbles of mass (m) to the floor
and trying to hit a crack in the floor. To aim, he uses equipment of the highest
possible precision. Show that despite his great care the marbles will miss the crack by
an average distance close to:
(h2pi/m)^1/2(H/g)^1/4
Where (g) is the acceleration due to gravity.
 Relevant Equations:
 Equations related to motion under gravity and the uncertainty principle
I have no idea how to approach. Hence would appreciate any help