Methods2023 Exam 2 Section A · Q10CAS active1 mark

Quantile of a piecewise probability density function

A continuous random variable $X$ has the following probability density function.

$g(x)=\begin{cases}\dfrac{x-1}{20} & 1 \le x < 6\\[2mm] \dfrac{9-x}{12} & 6 \le x \le 9\\[2mm] 0 & \text{elsewhere}\end{cases}$

The value of $k$ such that $\Pr(X < k) = 0.35$ is

1 mark

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