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H2 Math Summary Notes
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Pure Mathematics
Inequalities1 Question -
Graphing Techniques7 Questions
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Transformation of Graphs2 Questions
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Functions6 Questions
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APGP & Recurrence Relations6 Questions
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Sigma Notation6 Questions
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Techniques of Differentiation2 Questions
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Applications of Differentiation9 Questions
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Maclaurin Series2 Questions
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Techniques of Integration6 Questions
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Applications of Integration4 Questions
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Differential Equations2 Questions
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Vectors11 Questions
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Complex Numbers6 Questions
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StatisticsPermutation and Combinations7 Questions
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Probability5 Questions
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Discrete Random Variable4 Questions
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Binomial Distribution5 Questions
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Normal Distribution7 Questions
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Sampling and Estimation8 Questions
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Hypothesis Testing6 Questions
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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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