Question: Check whether the following can define probability distributions and explain your answers. (a) (f(x)=frac{1}{4}) for (x=10,11,12,13) (b) (f(x)=frac{2 x}{5}) for (x=0,1,2,3,4,5) (c) (f(x)=frac{x-15}{20}) for (x=8,9,10,11,12)
Check whether the following can define probability distributions and explain your answers.
(a) \(f(x)=\frac{1}{4}\)
for \(x=10,11,12,13\)
(b) \(f(x)=\frac{2 x}{5}\)
for \(x=0,1,2,3,4,5\)
(c) \(f(x)=\frac{x-15}{20}\)
for \(x=8,9,10,11,12\)
(d) \(f(x)=\frac{1+x^{2}}{61}\)
for \(x=0,1,2,3,4,5\)
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