Given below are the moments of a distribution about an arbitrary origin 5. If μ1' = -4, μ2' = 22, μ3' = -117 and μ4' = 560, then the third central moment μ3 is equal to:

The first four central moments (μ1, μ2, μ3, μ4) of a distribution are 0, 2.5, 0.7, and 18.75 respectively. Calculate the coefficient of skewness β1 of the distribution.

Consider the following statements regarding statistical distributions: 1. A symmetric distribution must have μ3 = 0. 2. μ3 = 0 implies the distribution is symmetric. 3. Kurtosis is independent of location but not of scale. Which of the above statements is/are correct?