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Binomial Distribution — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsBinomial Distribution2 Marks
Question
The mean of a binomial distribution is 10 and its standard deviation is 2; write the value of q.
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Answer

Mean of the binomial distribution, i.e. $\text{np}=10$
Variance $= ($Standard deviation$)^2$, i.e. $\text{npq}=4$
$\therefore\text{q}=\frac{\text{Variance}}{\text{Mean}}=0.4$

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