[See Solution] Find the mean, variance, and standard deviation of the probability distribution a.) P(x)=(x^2+5)/(50) ; for x=1,2,3, or 4. b.) P(x)=1/3 x; for


Question: Find the mean, variance, and standard deviation of the probability distribution

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

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

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