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(Solved): Derive the variance of a discrete Uniform random variable with support {x_(1),x_(2),dots,x_(k)}={1,2 ...



Derive the variance of a discrete Uniform random variable with support

{x_(1),x_(2),dots,x_(k)}={1,2,dots,k}

. Hint: notice that

1^(2)+2^(2)+3^(2)+cdots+k^(2)=(k(k+1)(2k+1))/(6)


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