Introduction to Probability · Problem 9.2.2

Central Limit Theorem — Grinstead & Snell

Mathematics — Probability · central-limit-theorem-discrete-independent-trials

Problem

A random walker starts at 0 on the

x

-axis and at each time unit moves 1 step to the right or 1 step to the left with probability

1/2

. Estimate the probability that, after 100 steps, the walker is more than 10 steps from the starting position.