Binomial Tail with Continuity Correction

A fair coin is flipped $n = 144$ times. Let $S$ be the number of heads.

(a) Using the CLT (without continuity correction), approximate $P(S \ge 80)$.

(b) Repeat with the continuity correction.

You may use $\Phi(1.33) \approx 0.9082$ and $\Phi(1.25) \approx 0.8944$.