[See Solution] Let Y be the sample mean of a 35-element random sample drawn from X~ N(5,12). State pdf(Y) and compute Pr (3≤ Y≤


Question: Let Y be the sample mean of a 35-element random sample drawn from \(X\sim N\left( 5,12 \right)\). State pdf(Y) and compute \(\Pr \left( 3\le Y\le 6 \right)\).

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