Edexcel S2 2016 June — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2016
SessionJune
TopicPoisson Distribution
TypeSingle time period probability

  1. During a typical day, a school website receives visits randomly at a rate of 9 per hour.
The probability that the school website receives fewer than \(v\) visits in a randomly selected one hour period is less than 0.75
  1. Find the largest possible value of \(v\)
  2. Find the probability that in a randomly selected one hour period, the school website receives at least 4 but at most 11 visits.
  3. Find the probability that in a randomly selected 10 minute period, the school website receives more than 1 visit.
  4. Using a suitable approximation, find the probability that in a randomly selected 8 hour period the school website receives more than 80 visits.