Edexcel FD2 2022 June — Question 3

Exam BoardEdexcel
ModuleFD2 (Further Decision 2)
Year2022
SessionJune
TopicDynamic Programming

3. The table below shows the transport options, usual travel times, possible delay times and corresponding probabilities of delay for a journey. All times are in minutes.
Transport optionUsual travel timePossible delay timeProbability of delay
\multirow{2}{*}{Car}\multirow{2}{*}{52}100.10
250.02
\multirow{2}{*}{Train}\multirow{2}{*}{45}150.05
250.03
\multirow{2}{*}{Coach}\multirow{2}{*}{55}50.05
150.01
  1. Draw a decision tree to model the transport options and the possible outcomes.
  2. State the minimum expected travel time and the corresponding transport option indicated by the decision tree.