CAIE S2 2013 November — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2013
SessionNovember
TopicPoisson Distribution
TypeFinding maximum n for P(X=0) threshold

4 The number of radioactive particles emitted per 150-minute period by some material has a Poisson distribution with mean 0.7.
  1. Find the probability that at most 2 particles will be emitted during a randomly chosen 10 -hour period.
  2. Find, in minutes, the longest time period for which the probability that no particles are emitted is at least 0.99 .