What is the standard deviation for the normal approximation to the binomial distribution with p = 1/2 and n = 400?
A)200
B)100
C)25
D)10

Question

What is the standard deviation for the normal approximation to the binomial distribution with p = 1/2 and n = 400?​
A)​200
B)​100
C)​25
D)​10

Quizplus · Accepted Answer

The standard deviation for the normal approximation to the binomial distribution is given by the formula $\sqrt{n \cdot p \cdot (1-p)}$. For $p = 1/2$ and $n = 400$, this becomes $\sqrt{400 \cdot 0.5 \cdot 0.5} = \sqrt{100} = 10$.

What Is the Standard Deviation for the Normal Approximation to the Binomial