Calculate Var[5X - 2] given Var[X] = (17/8)2.

Here are the solutions for the variance problems, assuming $\text{Var}[X] = \left(\frac{17}{8}\right)^2 = \frac{289}{64}$ based on your calculations in part (ii).

Part (ii): Calculate $\text{Var}[5X - 2]$

Step 1: Apply the property of variance.
The variance of a linear transformation of a random variable $X$ is given by the formula $\text{Var}[aX + b] = a^2 \text{Var}[X]$.
For $\text{Var}[5X - 2]$, we have $a=5$ and $b=-2$.

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