Question

Find the standard deviation for n = 10 and p = 0.6 when the conditions for the binomial distribution are met. (Round your answer to two digits after the decimal point.)

Answer 1

Given the values of n and p to be;

$\begin{gathered} n=10 \\ p=0.6 \end{gathered}$

We can calculate the standard deviation using the formula below;

$\sigma=\sqrt[]{n\cdot p\cdot(1-p)}$

substituting the given values;

$\begin{gathered} \sigma=\sqrt[]{10\cdot0.6\cdot(1-0.6)} \\ \sigma=\sqrt[]{2.4} \\ \sigma=1.55 \end{gathered}$

Therefore, the standard deviation for the distribution is;

$\sigma=1.55$