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(a) Assume that X has uniform distribution over [-2, 3]. Find constants a and b such that Y = ax + b has a

 

(a) Assume that X has uniform distribution over [-2, 3]. Find constants a and b such that Y = ax + b has a uniform distribution over the interval [0, 1]. (b) Prove that Za (x+b) cannot have a uniform distribution over the interval [0, 1] for any values of a and b.

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