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If in a Binomial Distribution Mean is 5 and Variance is 4, Write the Number of Trials. - CBSE (Commerce) Class 12 - Mathematics

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Question

If in a binomial distribution mean is 5 and variance is 4, write the number of trials.

 

Solution

\[\text{ Mean = 5 and Variance }  = 4\]
\[ \Rightarrow \text{ np = 5 and npq } = 4 \]
\[ \Rightarrow q = 0 . 8 \]
\[ \Rightarrow p = 1 - q = 0 . 2\]
& np = n(0 . 2) = 5 (given) 
\[ \Rightarrow n = \frac{5}{0 . 2} = 25\]

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Solution If in a Binomial Distribution Mean is 5 and Variance is 4, Write the Number of Trials. Concept: Bernoulli Trials and Binomial Distribution.
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