June 2025 Paper 3 Q14

14 It is given that \(X \sim \mathrm{N}(9, 1.5^2)\) and \(\mathrm{P}(a \leqslant X \leqslant b) \approx 95\%\)

Identify the correct pair of values of \(a\) and \(b\).

Tick (✓) one box. [1 mark]

• \(a = 4.5\) and \(b = 13.5\)
• \(a = 6\) and \(b = 12\)
• \(a = 7\) and \(b = 11\)
• \(a = 7.5\) and \(b = 10.5\)