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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability3 Marks
Question
Determine the binomial distribution for which the mean is 20 and variance 16.
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Answer

n . p = 20,    n p q = 16
$\Rightarrow\text{q}=\frac{16}{20}=\frac{4}{5}\text{ }\text{ }\therefore\text{ }\text{ }\text{p}=\frac{1}{5}\text{and n}=100$
OR  The Distribution is   P(r) = $100_{\text{C}_\text{r}}\Bigg[\frac{4}{5}\Bigg]^\text{100 - r}\cdot\Bigg(\frac{1}{5}\Bigg)^\text{r},\text{ r = 0,1,2,.....,100.}$

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