Question 4 - A-Level Maths

Exam Board	Edexcel
Module	S2 (Statistics 2)
Topic	Approximating Binomial to Normal Distribution
Type	Single probability inequality

4. A random variable \(X\) has the distribution \(\mathrm { B } ( 80,0.375 )\).

Write down the mean and variance of \(X\).
Use the Normal approximation to the binomial distribution to estimate \(\mathrm { P } ( X > 40 )\).