Question: Question 2 Suppose $f(x)$ is a probability density function that is proportional $exp (lell(x)$, where $ell(x)$ is a piecewise linear function defined as follows: $$

Question 2 Suppose $f(x)$ is a probability density function that is proportional $\exp (lell(x)$, where $\ell(x)$ is a piecewise linear function defined as follows: $$ \ell(x)=\left\{\begin{array}{11} 2 x+3 & \text { if } x
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