Question: 3. Give a technique for simulating a random variable having the probability density function $$ begin{aligned} f(x) &= begin{cases} frac{1}{2}(x-2) & 2 le x le

3. Give a technique for simulating a random variable having the probability density function

$$

\begin{aligned}

f(x) &= \begin{cases}

\frac{1}{2}(x-2) & 2 \le x \le 3 \\

\frac{1}{2}\left(2-\frac{x}{3}\right) & 3 < x \le 6 \\

0 & \text{otherwise}

\end{cases}

\end{aligned}

$$

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