Let $A$ be an exponential random variable with mean $5$, $λ = 1/5$.
What is the variance of $10A-3$?
Is my work correct? $$\text{Var}(10A-3) = 100\text{Var}(A) = 100 \left(\frac{1}{(1/5)^2}\right) = 2500$$
2026-04-02 14:57:37.1775141857
Let $A$ be an exponential random variable with mean $5$. What is the variance of $10A-3$?
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Comment: yes, correct. Approximate verification (two to three significant digits) by simulation in R.