Derive the mean of the distribution. b. Write (without derivation) the characteristic function for the distribution. What are the values of its derivatives at 0? c. Explain why higher moments do not exist for the distribution. Explain what it means for variance not to be defined.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a. Derive the mean of the distribution.
b. Write (without derivation) the characteristic function for the
distribution. What are the values of its derivatives at 0?

c. Explain why higher moments do not exist for the distribution. Explain
what it means for variance not to be defined.

For the Cauchy distribution:
C (x;Y) =
[1 + (*==)]
ITY |1+
Transcribed Image Text:For the Cauchy distribution: C (x;Y) = [1 + (*==)] ITY |1+
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