Edexcel S2 2010 January — Question 5

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2010
SessionJanuary
TopicPoisson Distribution
TypeSingle period normal approximation

  1. A café serves breakfast every morning. Customers arrive for breakfast at random at a rate of 1 every 6 minutes.
Find the probability that
  1. fewer than 9 customers arrive for breakfast on a Monday morning between 10 am and 11 am. The café serves breakfast every day between 8 am and 12 noon.
  2. Using a suitable approximation, estimate the probability that more than 50 customers arrive for breakfast next Tuesday.