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

X is a Normal variate with mean = 25, and S.D = 5. What are the probab

1.	X is a Normal variate with mean = 25, and S.D = 5. What are the probability distribution of \((\frac{x-25}{5}) and\, (\frac{x-25}{5})^2\).
Answer» It is SNV~N(0,1), ie Normal distribution, and χ² – distⁿ with 1 d.f.