CAIE S1 2021 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
TopicBinomial Distribution
TypeGeometric distribution (first success)

5 In a certain region, the probability that any given day in October is wet is 0.16 , independently of other days.
  1. Find the probability that, in a 10-day period in October, fewer than 3 days will be wet.
  2. Find the probability that the first wet day in October is 8 October.
  3. For 4 randomly chosen years, find the probability that in exactly 1 of these years the first wet day in October is 8 October.