Edexcel S2 — Question 5

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

5. A charity receives donations of more than \(\pounds 10000\) at an average rate of 25 per year. Find the probability that the charity receives
  1. exactly 30 such donations in one year,
  2. less than 3 such donations in one month.
  3. Using a suitable approximation, find the probability that the charity receives more than 45 donations of more than \(\pounds 10000\) in the next two years.