Moments exercise solutions

q	p1q	p2q	p3q	p4q	S(q)
2	.0025	.04	.09	.2025	.335
5	3.125(10-7)	.00032	.00243	.01845	.02120
10	9.7656(10-14)	1.024(10-7)	5.9049(10-6)	.0003405	.0003465
-2	400	25	11.11	4.938	441.049
-5	3.2(106)	3125	411.5	54.19	3.2036(106)
-10	1.024(1013)	9.7766(106)	169351	2936.8	1.024(1013)

So we see that (min(p_i))^q approximates S(q) = p₁^q + ... + p_N^q for large negative q, and (max(p_i))^q approximates S(q) for large positive q.

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