Alternative solution A better approximation can be obtained by using the de Moivre- Laplace approximation,which yields P(S>55)=P(S≥55.5) =P(0> 5.5-50 5 ≈1-Φ(1.1) =1-0.8643 =0.1357.Alternative solution • A better approximation can be obtained by using the de Moivre￾Laplace approximation, which yields 𝐏 𝑆 > 55 = 𝐏 𝑆 ≥ 55.5 = 𝐏 𝑆−50 5 > 55.5−50 5 ≈ 1 − Φ 1.1 = 1 − 0.8643 = 0.1357