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If the Mean of a Binomial Distribution is 20 and Its Standard Deviation is 4, Find P. - Mathematics

Question

If the mean of a binomial distribution is 20 and its standard deviation is 4, find p.

 

Solution

\[\text{ Standard deviation of the binomial distribution}  = 4 \]
\[\text{ Variance } = \left( \text{ Standard deviation }\right)^2 \]
\[\text{ Variance, i.e. npq }= 16 \]
\[\text{ Mean } = np = 20\]
\[ \Rightarrow q = \frac{16}{20} = \frac{4}{5}\]
\[\text{ and } p = 1 - q = \frac{1}{5}\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 12 (Set of 2 Volume) (2018 (Latest))
Chapter 33: Binomial Distribution
Very Short Answers | Q: 4 | Page no. 27
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If the Mean of a Binomial Distribution is 20 and Its Standard Deviation is 4, Find P. Concept: Bernoulli Trials and Binomial Distribution.
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