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Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.
Then,
and
After 1 hour of independent steps,
and
Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.
Then,
and
After 1 hour of independent steps,
and
Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.