[See Steps] Test the following function to determine if it is a probability distribution a.) P(x)=(x^2+5)/(50) ; for x=1,2,3, or 4 . b.) P(x)=(x^2+5)/(10)


Question: Test the following function to determine if it is a probability distribution

a.) \(\mathbf{P}(\mathbf{x})=\frac{x^{2}+5}{50} ;\) for \(\mathrm{x}=1,2,3\), or 4 .

b.) \(\mathbf{P}(\mathbf{x})=\frac{x^{2}+5}{10} ;\) for \(\mathrm{x}=1,2,3\), or 4 .

c.) \(\mathbf{P}(\mathbf{x})=1 / 3 \mathbf{x} ;\) for \(\mathrm{x}=0,1,2\).

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