Moments exercises

Take these probabilitiies: p1 = 0.05, p2 = 0.20, p3 = 0.30, and p4 = 0.45.

For several values of the exponent q we compute p1q, p2q, p3q, and p4q, and also the sum S(q) = p1q + p2q + p3q + p4q.

We show for larger positive q, S(q) is approximately equal to p4q, and for larger negative q, S(q) is approximately equal to p1q.

Complete this table and make the appropriate deductions.

q	p1q	p2q	p3q	p4q	S(q)
2
5
10
-2
-5
-10

Here are the answers.

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