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Compute the mean, variance, skewness and kurtosis of the probability dis- tribution with density on the real axis 1 (2) f(x) = C (1 +

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Compute the mean, variance, skewness and kurtosis of the probability dis- tribution with density on the real axis 1 (2) f(x) = C (1 + .x2/3)2 . Determine the normalization constant C such that the distribution is cor- rectly normalized as (3) f(x)dr = 1

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