42. Given the following three moments about the origin, derive the first three moments about the mean, and determine whether the random variable has a probability density function that is skewed, if you can.

(a) EðXÞ ¼ :2; E X2  ¼ :2; E X3  ¼ :2

(b) EðXÞ ¼ 1; E X2  ¼ 2; E X3  ¼ 5

(c) EðXÞ ¼ 2; E X2  ¼ 8; E X3  ¼ 48