Let X be a continuous random variable with the following pdf: f(x) = begincases 1/8, & 2 le x le 10 0, & otherwise endcases What is the distribution of Y = aX + b, provided a 0?

Q3Section I (Objective (Q1–Q80))3 of 80

Distribution Theory — linear transform of uniform variate

Let $X$ be a continuous random variable with the following pdf:

$f(x) = \begin{cases} \frac{1}{8}, & 2 \le x \le 10 \ 0, & \text{otherwise} \end{cases}$

What is the distribution of $Y = aX + b$ , provided $a > 0$ ?

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