S4 June 2011 Q1
1. Find the value of the constant \(a\) such that
\[\mathrm{P}(a \lt F_{8,10} \lt 3.07) = 0.94\](2)
| Scheme | Marks |
|---|---|
| \(\mathrm{P}(F_{8,10} \gt 3.07) = 0.05\) | |
| So need \(\mathrm{P}(F_{10,8} \gt x) = 0.01\) so \(x = 5.81\) | B1 |
| So \(a = \dfrac{1}{5.81} = \underline{\mathbf{0.172}}\) awrt 0.172 | B1 |
| (2 marks) |