#### 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.