CAIE S1 2022 March — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionMarch
TopicBinomial Distribution
TypeIndependent binomial samples with compound probability

2 In a certain country, the probability of more than 10 cm of rain on any particular day is 0.18 , independently of the weather on any other day.
  1. Find the probability that in any randomly chosen 7-day period, more than 2 days have more than 10 cm of rain.
  2. For 3 randomly chosen 7-day periods, find the probability that exactly two of these periods have at least one day with more than 10 cm of rain.