[See] If X ~ N(μ, σ^2), and Y=α X for some constant α, show that Y ~ N(α μ, α^2
Question:
If \(X \sim N\left(\mu, \sigma^{2}\right)\), and \(Y=\alpha X\) for some constant \(\alpha\), show that \(Y \sim N\left(\alpha \mu, \alpha^{2} \sigma^{2}\right)\)
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