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RANDOM VARIABLE ANE DISCRETE PROBABILITY DISTRIBUTION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsRANDOM VARIABLE ANE DISCRETE PROBABILITY DISTRIBUTION1 Mark
Question
The parameters of a binomial distribution are $10$ and Calculate its variance.
✓

Answer

$
\begin{aligned}
& n=10, p=\frac{2}{5} \\
& \therefore q=1-p=1-\frac{2}{5}=\frac{3}{5} \\
& \text { Variance }=n p q \\
& =10 \times \frac{2}{5} \times \frac{3}{5}=\frac{12}{5}
\end{aligned}
$
Hence, the variance obtained is $\frac{12}{5}$.

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