CAIE S1 2012 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicBinomial Distribution
TypeIndependent binomial samples with compound probability

4 In a certain mountainous region in winter, the probability of more than 20 cm of snow falling on any particular day is 0.21 .
  1. Find the probability that, in any 7-day period in winter, fewer than 5 days have more than 20 cm of snow falling.
  2. For 4 randomly chosen 7-day periods in winter, find the probability that exactly 3 of these periods will have at least 1 day with more than 20 cm of snow falling.