Let X be a random variable with the following probability law:

P(X E A) = f(x) dx, TEA where A is a subset of the real line, and f(x) is a probability density function given by: r-1 2 x/F if |x| > 1 , f (x ) = 0, otherwise Here r is a real number. Answer the following questions: (i) For which values of r will the mean of the random variable X be finite? (ii) For which values of r will the variance of the random variable X be finite