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Assume That a Probability Distribution Is Described by the Discrete μ=n+12 and σ=n2112\mu = \frac { n + 1 } { 2 } \text { and } \sigma = \sqrt { \frac { n ^ { 2 } - 1 } { 12 } }

question 154

Essay

Assume that a probability distribution is described by the discrete random variable x that can assume the values 1, 2, . . . , n; and those values are equally likely. This probability has mean and standard deviation described as follows: μ=n+12 and σ=n2112\mu = \frac { n + 1 } { 2 } \text { and } \sigma = \sqrt { \frac { n ^ { 2 } - 1 } { 12 } }
 Show that the formulas hold for the case of n=7\text { Show that the formulas hold for the case of }n=7


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