Question 7 - A-Level Maths

Exam Board	Edexcel
Module	S2 (Statistics 2)
Year	2023
Session	June
Topic	Poisson Distribution
Type	Conditional probability with Poisson

A bakery sells muffins individually at an average rate of 8 muffins per hour.
1. Find the probability that, in a randomly selected one-hour period, the bakery sells at least 4 but not more than 8 muffins.
A sample of 5 non-overlapping half-hour periods is selected at random.
Find the probability that the bakery sells fewer than 3 muffins in exactly 2 of these periods. Given that 4 muffins were sold in a one-hour period,
find the probability that more muffins were sold in the first 15 minutes than in the last 45 minutes.