Edexcel S2 — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
TopicPoisson Distribution
TypeSingle time period probability

  1. (a) Explain what you understand by the term sampling frame when conducting a sample survey.
    (b) Suggest a suitable sampling frame and identify the sampling units when using a sample survey to study
    1. the frequency with which cars break down in the first 3 months after being serviced at a particular garage,
    2. the weight loss of people involved in trials of a new dieting programme.
      (4 marks)
    3. An ornithologist believes that on average 4.2 different species of bird will visit a bird table in a rural garden when 50 g of breadcrumbs are spread on it.
      (a) Suggest a suitable distribution for modelling the number of species that visit a bird table meeting these criteria.
      (b) Explain why the parameter used with this model may need to be changed if
    4. 50 g of nuts are used instead of breadcrumbs,
    5. 100 g of breadcrumbs are used.
    A bird table in a rural garden has 50 g of breadcrumbs spread on it.
    Find the probability that
    (c) exactly 6 different species visit the table,
    (d) more than 2 different species visit the table.