Write down ${\text{P}}(X > 107)$.

Find ${\text{P}}(100 < X < 107)$.

Find ${\text{P}}(93 < X < 107)$.

${\text{P}}(X > 107) = 0.24\,\,\,\left( { = \frac{6}{{25}},{\text{ }}24\% } \right)$     A1     N1

[1 mark]

valid approach     (M1)

eg$\,\,\,\,\,$${\text{P}}(X > 100) = 0.5,{\text{ P}}(X > 100) - {\text{P}}(X > 107)$

correct working     (A1)

eg$\,\,\,\,\,$$0.5 - 0.24,{\text{ }}0.76 - 0.5$

${\text{P}}(100 < X < 107) = 0.26\,\,\,\left( { = \frac{{13}}{{50}},{\text{ }}26\% } \right)$     A1     N2

[3 marks]

valid approach     (M1)

eg$\,\,\,\,\,$$2 \times 0.26,{\text{ }}1 - 2(0.24),{\text{ P}}(93 < X < 100) = {\text{P}}(100 < X < 107)$

${\text{P}}(93 < X < 107) = 0.52\,\,\,\left( { = \frac{{13}}{{25}},{\text{ }}52\% } \right)$     A1 N2

[2 marks]