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Mathematical Methods — Question 18

QCAA 2022, Paper 1 · 4 marks

Q18 · 2022 · Technology-freeComplex unfamiliar4 marks

QUESTION 18 (4 marks)

A percentile is a measure in statistics showing the value below which a given percentage of observations occur. The continuous random variable XX has the probability density function f(x)={2x−2,1≤x≤2,0,otherwise.f(x)=\begin{cases}2x-2,&1\le x\le2,\\0,&\text{otherwise.}\end{cases} Determine the 36th percentile of XX.
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