AQA Further Paper 3 Statistics 2022 June — Question 4

Exam BoardAQA
ModuleFurther Paper 3 Statistics (Further Paper 3 Statistics)
Year2022
SessionJune
TopicPoisson Distribution
TypeThree or more independent Poisson sums

4 Daisies and dandelions are the only flowers growing in a field. The number of daisies per square metre in the field has a mean of 16
The number of dandelions per square metre in the field has a mean of 10
The number of daisies per square metre and the number of dandelions per square metre are independent. 4
  1. Using a Poisson model, find the probability that a randomly selected square metre from the field has a total of at least 30 flowers, giving your answer to three decimal places.
    4
  2. A survey of the entire field is taken.
    The standard deviation of the total number of flowers per square metre is 10 State, with a reason, whether the model used in part (a) is valid.