Question 1 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2024
Session	June
Topic	Approximating the Poisson to the Normal distribution
Type	Combined Poisson approximation and exact calculation

1 A random variable \(X\) has the distribution \(\mathrm { Po } ( 145 )\).

Use a suitable approximating distribution to calculate \(\mathrm { P } ( X \leqslant 150 )\).
Justify the use of your approximating distribution in this case.