Edexcel S2 2012 January — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2012
SessionJanuary
TopicContinuous Uniform Random Variables
TypeConditional probability with uniform

  1. The time in minutes that Elaine takes to checkout at her local supermarket follows a continuous uniform distribution defined over the interval [3,9].
Find
  1. Elaine's expected checkout time,
  2. the variance of the time taken to checkout at the supermarket,
  3. the probability that Elaine will take more than 7 minutes to checkout. Given that Elaine has already spent 4 minutes at the checkout,
  4. find the probability that she will take a total of less than 6 minutes to checkout.