Introduction to Probability · Problem 9.1.1

Central Limit Theorem — Grinstead & Snell

Mathematics — Probability · central-limit-theorem-bernoulli-trials

Problem

Let

S_{100}

be the number of heads that turn up in 100 tosses of a fair coin. Use the Central Limit Theorem to estimate (a)

P(S_{100} \leq 45)

. (b)

P(45 < S_{100} < 55)

. (c)

P(S_{100} > 63)

. (d)

P(S_{100} < 57)