AQA AS Paper 2 2018 June — Question 15

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2018
SessionJune
TopicBinomial Distribution
TypeIndependent binomial samples with compound probability

15 Nicola, a darts player, is practising hitting the bullseye. She knows from previous experience that she has a probability of 0.3 of hitting the bullseye with each dart. Nicola throws eight practice darts.
15
  1. Using a binomial distribution, calculate the probability that she will hit the bullseye three or more times. 15
  2. Nicola throws eight practice darts on three different occasions. Calculate the probability that she will hit the bullseye three or more times on all three occasions.
    15
  3. State two assumptions that are necessary for the distribution you have used in part (a) to be valid.