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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question 
Unit 2 Graphing Techniques7 Questions

Unit 3 Transformation of Graphs2 Questions

Unit 4 Functions6 Questions

Unit 5 APGP & Recurrence Relations6 Questions

Unit 6 Sigma Notation6 Questions

Unit 7 Techniques of Differentiation2 Questions

Unit 8 Applications of Differentiation9 Questions

Unit 9 Maclaurin Series2 Questions

Unit 10 Techniques of Integration6 Questions

Unit 11 Applications of Integration4 Questions

Unit 12 Differential Equations2 Questions

Unit 13 Vectors11 Questions

Unit 14 Complex Numbers6 Questions

StatisticsUnit 15 Permutation and Combinations7 Questions

Unit 16 Probability5 Questions

Unit 17 Discrete Random Variable4 Questions

Unit 18 Binomial Distribution5 Questions

Unit 19 Normal Distribution7 Questions

Unit 20 Sampling and Estimation8 Questions

Unit 21 Hypothesis Testing6 Questions

Unit 22 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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