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H2 Math Summary Notes
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Pure Mathematics
Inequalities1 Question 
Graphing Techniques7 Questions

Transformation of Graphs2 Questions

Functions6 Questions

APGP & Recurrence Relations6 Questions

Sigma Notation6 Questions

Techniques of Differentiation2 Questions

Applications of Differentiation9 Questions

Maclaurin Series2 Questions

Techniques of Integration6 Questions

Applications of Integration4 Questions

Differential Equations2 Questions

Vectors11 Questions

Complex Numbers6 Questions

StatisticsPermutation and Combinations7 Questions

Probability5 Questions

Discrete Random Variable4 Questions

Binomial Distribution5 Questions

Normal Distribution7 Questions

Sampling and Estimation8 Questions

Hypothesis Testing6 Questions

Correlation and Linear Regression5 Questions
Lesson 19,
Question 7
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Worked Example 7
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The heights, in metres, of female and male students in a school follow normal distributions with the following data.
Find the probability that
(i)
Two randomly selected male are taller than twice a randomly selected female.
(ii)
A randomly selected male student is taller than a randomly selected female student by at least \(20\) cm.
(iii)
The difference in height between a randomly selected male and a female is more than \(30\) cm.
(iv)
The heights of two randomly selected female students both exceed \(1.5\) m.
(v)
The total height of two randomly selected female students is more than \(3\) m.
Comment on the difference in answers for part (iv) and (v).
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