Question: For each of the following statements about the chi-square \({{\chi }^{2}}\) distribution, state whether it is true or false and explain or justify your answer.

A. The density curve of the \({{\chi }^{2}}\) distribution is symmetric.

B. As the number of degrees of freedom increases, the mean of the \({{\chi }^{2}}\) distribution increases.

C. The mean of any \({{\chi }^{2}}\) distribution is less than the median.