If $f(x)$ and $g(x)$ are two probability density functions, $f(x)=\left\{\begin{array}{ll}\frac{x}{a}+1 & :-a \leq x<0 \\ -\frac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & : \text { otherwise }\end{array}\right.$ $g(x)=\left\{\begin{array}{ll}-\frac{x}{a} & :-a \leq x<0 \\ \frac{x}{a} & : 0 \leq x \leq a \\ 0 & : \text { otherwise }\end{array}\right.$ 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
If $f(x)$ and $g(x)$ are two probability density functions, $f(x)=\left\{\begin{array}{ll}\frac{x}{a}+1 & :-a \leq x<0 \\ -\frac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & : \text { otherwise }\end{array}\right.$ $g(x)=\left\{\begin{array}{ll}-\frac{x}{a} & :-a \leq x<0 \\ \frac{x}{a} & : 0 \leq x \leq a \\ 0 & : \text { otherwise }\end{array}\right.$ 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
Mean of $f(x)$ and $g(x)$ are same; Variance of $f(x)$ and $g(x)$ are different