For a binomial distribution based on n = 100,the standard deviation would be larger for p = 0.90 than for p = 0.80.

Question

For a binomial distribution based on n = 100,the standard deviation would be larger for p = 0.90 than for p = 0.80.​

Quizplus · Accepted Answer

The standard deviation for a binomial distribution is given by the formula $\sqrt{n \cdot p \cdot (1-p)}$. As $p$ approaches 1 or 0, the product $p \cdot (1-p)$ decreases, leading to a smaller standard deviation. Therefore, the standard deviation for $p = 0.90$ is smaller than for $p = 0.80$, not larger.

For a Binomial Distribution Based on N = 100,the Standard