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If X is Normal variate with mean 15 and Variance 4. What are the probability distribution of

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If X is Normal variate with mean 15 and Variance 4. What are the probability distribution of (i) Z (ii) Z2 Where Z = \(\frac{x -15}{2}?\)

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(i) Z~ N(0,1)

(ii) Z2 ~ χ2 (1).

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