Let $X_0, X_1, X_2, \ldots \in \text{Random}(\mathbb{R})$ each be a D3161: Random real number such that

(i)	$\{ X_n \}_{n \in \mathbb{N}}$ is an D2713: Independent random collection

Let $\alpha_0, \beta_0, \alpha_1, \beta_1, \alpha_2, \beta_2, \ldots \in \mathbb{R}$ each be a D3161: Random real number such that

(i)	\begin{equation} \forall \, n \in \mathbb{N} : \alpha_n \neq 0 \end{equation}

Then $\{ \alpha_n X_n + \beta_n \}_{n \in \mathbb{N}}$ is an D2713: Independent random collection.