M1
2 marks · average 0.8 51% scored 0
The question in our own words · page 10
\(f(x)=\tfrac38(4-3x)\) for \(0\le x\le\tfrac43\) (and \(0\) otherwise) is a probability density function. Build \(h(x)=mf(x)+n\) from it, with real constants \(m\) and \(n\). What is \(\displaystyle\int_0^{4/3}h(x)\,dx\), as an expression in \(m\) and \(n\)? No calculator.
Source: VCAA 2025 VCE Mathematical Methods Examination 1, Question 8b
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