5. Probability Distributions

Normal Approximations — Quiz

Test your understanding of normal approximations with 5 practice questions.

Practice Questions

Question 1

When approximating a binomial distribution with a normal distribution, what conditions on the parameters $n$ and $p$ are generally required for the approximation to be considered reliable?

Question 2

A discrete random variable $X$ follows a binomial distribution. When using a normal approximation to find $P(X = k)$, which of the following continuity corrections should be applied?

Question 3

A binomial distribution has parameters $n = 80$ and $p = 0.4$. What is the standard deviation of the corresponding normal approximation?

Question 4

To approximate the probability $P(X > 30)$ for a binomial distribution using a normal approximation with continuity correction, which value would you use for the lower bound in the normal distribution?

Question 5

Which of the following statements about the mean of a normal approximation to a binomial distribution is true?