CAIE S2 2020 March — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionMarch
TopicPoisson Distribution
TypeFinding maximum n for P(X=0) threshold

4 The number of accidents on a certain road has a Poisson distribution with mean 0.4 per 50-day period.
  1. Find the probability that there will be fewer than 3 accidents during a year (365 days).
  2. The probability that there will be no accidents during a period of \(n\) days is greater than 0.95 . Find the largest possible value of \(n\).