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JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1
If the variable takes the values 0,1,2,….n,  0,\mathrm{ }1,\mathrm{ }2,\mathrm{ } \ldots .n,\; with frequencies proportional to the binomial coefficients C(n,0),C(n,1),C(n,2),…..,C(n,n)C\left( {n,0} \right),C\left( {n,1} \right),C\left( {n,2} \right), \ldots ..,C\left( {n,n} \right) respectively, then the variance of the distribution is
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Correct option: D
n4\frac{n}{4}
Option D (n/4) is correct because the variance of the distribution is calculated to be n/4 using binomial coefficients.

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