Question 1 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2018
Session	June
Topic	Approximating the Binomial to the Poisson distribution
Type	State Poisson approximation with justification

1 A random variable \(X\) has the distribution \(\mathrm { B } ( 75,0.03 )\).

Use the Poisson approximation to the binomial distribution to calculate \(\mathrm { P } ( X < 3 )\).
Justify the use of the Poisson approximation.