# Question: Show that if a random variable has a uniform density

Show that if a random variable has a uniform density with the parameters α and β, the rth moment about the mean equals

(a) 0 when r is odd;

(b) 1 / r + 1 (β – α / 2)r when r is even.

(a) 0 when r is odd;

(b) 1 / r + 1 (β – α / 2)r when r is even.

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