If f(x) and g(x) are two probability density functions,
\[{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{\text{x}}}{{\text{a}}} + 1}&:&{ - {\text{a}} \leqslant {\text{x}} < 0} \\ { - \frac{{\text{x}}}{{\text{a}}} + 1}&:&{0 \leqslant {\text{x}} \leqslant {\text{a}}} \\ 0&:&{{\text{otherwise}}} \end{array}} \right.;\,\,{\text{g}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} { - \frac{{\text{x}}}{{\text{a}}}}&:&{ - {\text{a}} \leqslant {\text{x}} < 0} \\ {\frac{{\text{x}}}{{\text{a}}}}&:&{0 \leqslant {\text{x}} \leqslant {\text{a}}} \\ 0&:&{{\text{otherwise}}} \end{array}} \right.\]
Which one of the following statements is true?

A. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same

B. Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different

C. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same

D. Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different

Answer: Option B