CAIE S2 2017 June — Question 6

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2017
SessionJune
TopicPoisson Distribution
TypeSum of independent Poisson processes

6 Old televisions arrive randomly and independently at a recycling centre at an average rate of 1.2 per day.
  1. Find the probability that exactly 2 televisions arrive in a 2-day period.
  2. Use an appropriate approximating distribution to find the probability that at least 55 televisions arrive in a 50-day period.
    Independently of televisions, old computers arrive randomly and independently at the same recycling centre at an average rate of 4 per 7-day week.
  3. Find the probability that the total number of televisions and computers that arrive at the recycling centre in a 3-day period is less than 4.