Question: Check whether the following can define probability distributions, and explain your answers. (a) (f(x)=frac{x}{10}), for (x=0,1,2,3,4). (b) (f(x)=frac{1}{3}), for (x=-1,0,1). (c) (f(x)=frac{(x-1)^{2}}{4}), for (x=0,1,2,3).
Check whether the following can define probability distributions, and explain your answers.
(a) \(f(x)=\frac{x}{10}\), for \(x=0,1,2,3,4\).
(b) \(f(x)=\frac{1}{3}\), for \(x=-1,0,1\).
(c) \(f(x)=\frac{(x-1)^{2}}{4}\), for \(x=0,1,2,3\).
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