An apparatus exists whereby a collection of balls is displaced to the
top of a stack by suction. A top level (Level 1) each ball is shifted
1 unit to the left or 1 unit to the right at random with equal
probability. The ball then drops down to level 2. At Level 2, each
ball is again shifted 1 unit to the left or 1 unit to the right at
random. The process continues for 15 levels and the balls are
collected at the bottom for a short time until being collected by
suction to the top.

Can we do a simulation of the process using R with 100 balls, and plot
the frequency distribution of the position of the balls at the bottom
with respect to the entry position?

thx in advance

ej

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