In-class question: Suppose we toss a coin 100 times. Use the Central Limit Theorem to approximate the probability to have either at least 55 heads or at most 40 heads.

Additional take-home question: Suppose S is the sum of 48 geometric random variables with p=1/4. Find E(S), Var(S), and the probability P(|S-200|>12). Use the normal table to obtain the numerical answer with accuracy up to three decimal places.

Instruction: write solutions without continuity correction. Extra credit: you will receive extra points for additional solutions with continuity correction.