CAIE S2 2003 June — Question 6

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2003
SessionJune
TopicPoisson Distribution
TypeTwo independent Poisson sums

6 Computer breakdowns occur randomly on average once every 48 hours of use.
  1. Calculate the probability that there will be fewer than 4 breakdowns in 60 hours of use.
  2. Find the probability that the number of breakdowns in one year (8760 hours) of use is more than 200.
  3. Independently of the computer breaking down, the computer operator receives phone calls randomly on average twice in every 24 -hour period. Find the probability that the total number of phone calls and computer breakdowns in a 60-hour period is exactly 4 .