Question: The first three moments about the origin for the random variable (Y) are given as follows: (mu_{1}^{prime}=.5, mu_{2}^{prime}=.5, mu_{3}^{prime}) (=.75). (a) Define the first three

The first three moments about the origin for the random variable \(Y\) are given as follows: \(\mu_{1}^{\prime}=.5, \mu_{2}^{\prime}=.5, \mu_{3}^{\prime}\) \(=.75\).

(a) Define the first three moments about the mean for \(Y\).

(b) Is the density of \(Y\) skewed? Why or why not?

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