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The Mean of a Binomial Distribution is 10 and Its Standard Deviation is 2; Write the Value of Q. - Mathematics

Question

The mean of a binomial distribution is 10 and its standard deviation is 2; write the value of q.

 

Solution

\[\text{ Mean of the binomial distribution, i . e . np } = 10\]
\[\text{ Variance } = \left( \text{ Standard deviation } \right)^2 ,\text{  i . e . npq }  = 4\]
\[ \therefore q = \frac{\text{ Variance } }{\text{ Mean} } = 0 . 4 \]

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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: 5 | Page no. 27
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The Mean of a Binomial Distribution is 10 and Its Standard Deviation is 2; Write the Value of Q. Concept: Bernoulli Trials and Binomial Distribution.
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