CAIE S2 2019 November — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionNovember
TopicPoisson Distribution
TypeSingle period normal approximation

2 Cars arrive at a filling station randomly and at a constant average rate of 2.4 cars per minute.
  1. Calculate the probability that fewer than 4 cars arrive in a 2 -minute period.
  2. Use a suitable approximating distribution to calculate the probability that at least 140 cars arrive in a 1-hour period.