Question 1 - A-Level Maths

Exam Board	CAIE
Module	S2 (Statistics 2)
Year	2017
Session	June
Topic	Approximating the Binomial to the Poisson distribution
Type	State Poisson approximation with justification

1 On average, 1 clover plant in 10000 has four leaves instead of three.

Use an approximating distribution to calculate the probability that, in a random sample of 2000 clover plants, more than 2 will have four leaves.
Justify your approximating distribution.