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).

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