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in Statistics by (57.2k points)

X is a Normal variate with mean = 25, and S.D = 5. What are the probability distribution of \((\frac{x-25}{5}) and\, (\frac{x-25}{5})^2\).

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It is SNV~N(0,1), ie Normal distribution, and χ2 – distn with 1 d.f.

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