Compute E[X] and var[X] for the following distributions. (a) f (x) axa1, 0 x

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Compute E[X] and var[X] for the following distributions.

(a) f (x) Æ ax¡a¡1, 0 Ç x Ç 1, a È 0.

(b) f (x) Æ 1n

, x Æ 1, 2, ...,n.

(c) f (x) Æ 32

(x ¡1)2, 0 Ç x Ç 2.

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