CAIE S2 2015 June — Question 6

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2015
SessionJune
TopicPoisson Distribution
TypeSum of independent Poisson processes

6 People arrive at a checkout in a store at random, and at a constant mean rate of 0.7 per minute. Find the probability that
  1. exactly 3 people arrive at the checkout during a 5 -minute period,
  2. at least 30 people arrive at the checkout during a 1-hour period. People arrive independently at another checkout in the store at random, and at a constant mean rate of 0.5 per minute.
  3. Find the probability that a total of more than 3 people arrive at this pair of checkouts during a 2-minute period.