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13.Statistics
normal
Variance of $^{10}C_0$ , $^{10}C_1$ , $^{10}C_2$ ,.... $^{10}C_{10}$ is
A
$\frac{{10.\,{}^{20}{C_{_{10}}} - {2^{10}}}}{{100}}$
B
$\frac{{11\,{}^{20}{C_{_{10}}} - {2^{10}}}}{{11}}$
C
$\frac{{10.\,{}^{20}{C_{_{10}}} - {2^{20}}}}{{100}}$
D
$\frac{{11.\,{}^{20}{C_{_{10}}} - {2^{20}}}}{{121}}$
Solution
Variance $=\frac{\Sigma \mathrm{x}_{\mathrm{i}}^{2}}{\mathrm{n}}-\left(\frac{\Sigma \mathrm{x}_{\mathrm{i}}}{\mathrm{n}}\right)^{2}$
$=\frac{^{20} \mathrm{C}_{10}}{11}-\left(\frac{2^{10}}{11}\right)^{2}$
$=\frac{11 \cdot^{20} \mathrm{C}_{10}-2^{20}}{121}$
Standard 11
Mathematics
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