Q 1133556442.     The random variable takes the values `1,2,3,...............,m`. If `P(X=n)=1/m` to each `n`, then the variance of `X` is

EAMCET 2013
A

` ((m+1)(2m+1))/6`

B

`(m^2-1)/12`

C

`(m+1)/2`

D

`(m^2+1)/12`

HINT

`barX=sum_(x=1)^mxp(X=x)=(m(m+1))/(2m)=(m+1)/2`

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