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x(1),x(2)andx(3) are three variates with...

`x_(1),x_(2)andx_(3)` are three variates with means `bar(x_(1)), bar(x_(2)), bar(x_(3))` respectively, each variate occurring equal number of times and having correlation coefficients `r_(12)` between `x_(1)andx_(2)` etc. Then
`r_(12)+r_(23)+r_(13)ge-3//2`

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Knowledge Check

  • x_(1) and x_(2) are two variates with variances sigma_(1)^(2) and sigma_(2)^(2) respectively and r is the correlation between them. The value of a such that x_(1) + ax_(2) and x_(1)+(sigma_(1))/(sigma_(2))x_(2) are uncorrelated is

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    D
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  • If r is the remainder obtained on dividing 98^(5) by 12, then the coefficient . of x^(3) in the binomial expansion of (1+x/2)^(2r) is:

    A
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