For theU[a,b] distribution show (a) R b a f (x j a,b)dx 1. (b) E[X]

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For theU[a,b] distribution show

(a)

R b a f (x j a,b)dx Æ 1.

(b) E[X] Æ (b ¡a)/2

(c) var[X] Æ (b ¡a)/12.

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