True or false? Say whether each of these statements about chi-square probability density functions is true or

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True or false? Say whether each of these statements about chi-square probability density functions is true or false.

(a) have a mean equal to 0

(b) have a mean equal to their degrees of freedom

(c) have a mode of 0

(d) have a mode of 0 when df = 1 or 2

(e) have a variance of 1

(f) have a variance of two times their degrees of freedom

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