CAIE S2 2022 November — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2022
SessionNovember
TopicPoisson Distribution
TypeSingle period normal approximation

3 Drops of water fall randomly from a leaking tap at a constant average rate of 5.2 per minute.
  1. Find the probability that at least 3 drops fall during a randomly chosen 30 -second period.
  2. Use a suitable approximating distribution to find the probability that at least 650 drops fall during a randomly chosen 2-hour period.