Question

evaluate (sigma=sqrt{n p q}), where (q = 1 - p), for (n = 190) and (p = 0.2).
(sigma=square)
(simplify your answer. type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Calculate the value of \( q \)

Given \( q = 1 - p \) and \( p = 0.2 \), then \( q=1 - 0.2=0.8 \)

Step2: Substitute \( n = 190 \), \( p = 0.2 \), \( q = 0.8 \) into the formula \( \sigma=\sqrt{npq} \)

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Step3: Calculate the square - root

\(\sqrt{30.4}\approx5.5\)

Answer:

\(5.5\)