Moments of the Random Variable
For a continuous random variable X with probability density function f(x) = 3x^2 for 0 < x < 1, what is the second-moment r = 2 of X?
In the context of moments, what does the value of r represent?
If a random variable X has a probability density function f(x) = 2x for 0 < x < 1, what is the first moment around k=0?
Which of the following statements about moments is true?
For a continuous random variable X, if the rth moment around k exists, what can be said about the (r-1)th moment around k?