Question

evaluate $sigma=sqrt{np(1 - p)}$ for $n = 1477$, $p=\frac{3}{4}$. $sigma=square$ (simplify your answer. type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Calculate 1 - p

$1 - p=1-\frac{3}{4}=\frac{1}{4}$

Step2: Calculate np(1 - p)

$np(1 - p)=1477\times\frac{3}{4}\times\frac{1}{4}=\frac{4431}{16}=276.9375$

Step3: Calculate σ

$\sigma=\sqrt{np(1 - p)}=\sqrt{276.9375}\approx16.6$

Answer:

$16.6$