CAIE S2 2020 November — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionNovember
TopicApproximating the Binomial to the Poisson distribution
TypeState Poisson approximation with justification

1 It is known that, on average, 1 in 300 flowers of a certain kind are white. A random sample of 200 flowers of this kind is selected.
  1. Use an appropriate approximating distribution to find the probability that more than 1 flower in the sample is white.
  2. Justify the approximating distribution used in part (a).
    The probability that a randomly chosen flower of another kind is white is 0.02 . A random sample of 150 of these flowers is selected.
  3. Use an appropriate approximating distribution to find the probability that the total number of white flowers in the two samples is less than 4 .