The skewness of a distribution is skew 3 3 where 3 is the 3rd central moment.

Question:

The skewness of a distribution is skew Æ

¹3

¾3 where ¹3 is the 3rd central moment.

(a) Show that if the density function is symmetric about some point

a, then skew Æ 0.

(b) Calculate skew for f (x) Æ exp(¡x), x ¸ 0.

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