Edexcel S1 2012 June — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicProbability Definitions
TypeMutually exclusive events

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0593544d-392d-465b-b922-c9cb1435abb5-06_611_1127_237_447} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows how 25 people travelled to work.
Their travel to work is represented by the events $$\begin{array} { l l } B & \text { bicycle }
T & \text { train }
W & \text { walk } \end{array}$$
  1. Write down 2 of these events that are mutually exclusive. Give a reason for your answer.
  2. Determine whether or not \(B\) and \(T\) are independent events. One person is chosen at random.
    Find the probability that this person
  3. walks to work,
  4. travels to work by bicycle and train.
  5. Given that this person travels to work by bicycle, find the probability that they will also take the train.