CAIE S2 2013 June — Question 6

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2013
SessionJune
TopicPoisson Distribution
TypeScaled time period probability

6 Calls arrive at a helpdesk randomly and at a constant average rate of 1.4 calls per hour. Calculate the probability that there will be
  1. more than 3 calls in \(2 \frac { 1 } { 2 }\) hours,
  2. fewer than 1000 calls in four weeks ( 672 hours).