Let [math]S_{100}[/math] be the number of heads that turn up in 100 tosses of a fair coin. Use the Central Limit Theorem to estimate

• [math]P(S_{100} \leq 45)[/math].
• [math]P(45 \lt S_{100} \lt 55)[/math].
• [math]P(S_{100} \gt 63)[/math].
• [math]P(S_{100} \lt 57)[/math].