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.

1. The density curve of the \({{\chi }^{2}}\) distribution is symmetric.
2. As the number of degrees of freedom increases, the mean of the \({{\chi }^{2}}\) distribution increases.
3. The mean of any \({{\chi }^{2}}\) distribution is less than the median.

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