f(x)=1, θ-1/2 ≤ x ≤ θ+1/2(adsbygoogle = window.adsbygoogle || []).push({});

Given that Z=(b-a)(x-θ)+(1/2)(a+b) how would you show that Z has a continuous uniform distribution over the interval (a,b)?

Any help would be much appreciated.

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# Showing a random Variable has a continuous uniform distribution

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