CAIE S1 2020 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionNovember
TopicGeometric Distribution
TypeGeometric then binomial separate scenarios

3 Kayla is competing in a throwing event. A throw is counted as a success if the distance achieved is greater than 30 metres. The probability that Kayla will achieve a success on any throw is 0.25 .
  1. Find the probability that Kayla takes more than 6 throws to achieve a success.
  2. Find the probability that, for a random sample of 10 throws, Kayla achieves at least 3 successes.