Not sure if you want properties of chi-square distribution or the characteristic function. If it is the latter, see the last cell of the table with the equations labeled cf.
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The characteristics of the chi-square distribution are: A. The value of chi-square is never negative. B. The chi-square distribution is positively skewed. C. There is a family of chi-square distributions.
Yes
No.
No.
It is the value of a random variable which has a chi-square distribution with the appropriate number of degrees of freedom.