OCR MEI Further Statistics Major 2022 June — Question 1

Exam BoardOCR MEI
ModuleFurther Statistics Major (Further Statistics Major)
Year2022
SessionJune
TopicPoisson Distribution
TypeExplain or apply conditions in context

1 During a meteor shower, the number of meteors that can be seen at a particular location can be modelled by a Poisson distribution with mean 1.2 per minute.
  1. Find the probability that exactly 2 meteors are seen in a period of 1 minute.
  2. Find the probability that more than 3 meteors are seen in a period of 1 minute.
  3. Find the probability that no more than 8 meteors are seen in a period of 10 minutes.
  4. Explain what the fact that the number of meteors seen can be modelled by a Poisson distribution tells you about the occurrence of meteors.