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X (a) If X ~ x2 (n, ) and Y ~ x2 (m) are independent, name the distribution of Z = X +Y with its

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X (a) If X ~ x2 (n, ) and Y ~ x2 (m) are independent, name the distribution of Z = X +Y with its parameters (4) (b) Use the probability density function of the noncentral beta II distribution to derive the probability density function of the noncentral F distribution (5) 191

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