CAIE S1 2017 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2017
SessionNovember
TopicBinomial Distribution
TypeFinding binomial parameters from properties

3 An experiment consists of throwing a biased die 30 times and noting the number of 4 s obtained. This experiment was repeated many times and the average number of 4 s obtained in 30 throws was found to be 6.21.
  1. Estimate the probability of throwing a 4.
    ..................................................................................................................................... .
    \section*{Hence}
  2. find the variance of the number of 4 s obtained in 30 throws,
  3. find the probability that in 15 throws the number of 4 s obtained is 2 or more.