In this lesson, we will learn how to approximate a binomial distribution with a normal distribution.
Students will be able to
Q1:
Which of the following four binomially distributed random variables may be approximated by a normal distribution?
Q2:
𝑋 is a binomially distributed random variable, and 𝑋∼𝐵(250,0.47). Write down a normal approximation of 𝑋∼𝑁𝜇,𝜎, stating the values of 𝜇 and 𝜎.
Q3:
A discrete random variable 𝑋 is binomially distributed, and 𝑋∼𝐵(200,0.47). Using a normal approximation, estimate 𝑃(𝑋≤96).
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.