Statistics Solutions

[Step-by-Step] Suppose that X and Y are 2 independent normally distributed random variables. X has mean μ=3 and standard deviation σ=3 . Y has

Question: Suppose that \(X\) and \(Y\) are 2 independent normally distributed random variables. \(X\) has mean \(\mu=3\) and standard deviation \(\sigma=3 .\) \(Y\) has mean \(\mu=1\) and standard deviation \(\sigma=2\). What can you say about the distribution of \(X+Y ?\) Explain your answer.

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