Question 1 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2024
Session	June
Topic	Approximating the Binomial to the Poisson distribution
Type	State Poisson approximation with justification

1 The random variable \(X\) has the distribution \(\mathrm { B } ( 4000,0.001 )\).

Use a suitable approximating distribution to find \(\mathrm { P } ( 2 \leqslant X < 5 )\).
Justify your approximating distribution in this case.