For what values of the parameters are the following functions probability density functions? (a) f(x) = C{x(1 − x)}, 0 < x < 1, the density function of the 'arc sine law'. (b) f(x) = Cexp(-x-e-*), xe R, the deity function of the 'extreme-value distribution'. (c) f(x) = C(1+x²)-m, x € R.

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