Question

whats is the standard deviation for the Binomial distribution with the mean being 35 the variance is 10 .5

Answer 1

Given the mean and standard deviation below

`\begin{gathered} \sigma\text{ is standard deviation} \\ \mu\text{ is the mean } \end{gathered}`

The formula for standard deviation is

`\sigma=\sqrt[]{Variance}`

Given that

`\text{Variance}=10.5`

Substitute for Variance into the formula for standard deviation

`\begin{gathered} \sigma=\sqrt[]{10.5} \\ \sigma=3.24\text{ (two decimal places)} \end{gathered}`

Hence, the standard deviation, σ is 3.24 (two decimal places)