Question 6 - A-Level Maths

6 The table below shows the numbers of males and females in each of three employment categories at a university on 31 July 2003.

An employee is selected at random. Determine the probability that the employee is:
1. female;
2. a female academic;
3. either female or academic or both;
4. female, given that the employee is academic.
Three employees are selected at random, without replacement. Determine the probability that:
1. all three employees are male;
2. exactly one employee is male.
The event "employee selected is academic" is denoted by \(A\). The event "employee selected is female" is denoted by \(F\). Describe in context, as simply as possible, the events denoted by:
1. \(F \cap A\);
2. \(F ^ { \prime } \cup A\).
  Surname Other Names
  Centre Number Candidate Number
  Candidate Signature
  General Certificate of Education
  January 2005
  Advanced Subsidiary Examination MS/SS1B AQA
  459:5EMLM
  : 11 P וPII " 1 : : ר
  ALLI.ub c \section*{STATISTICS} Unit Statistics 1B Insert for use in Question 3.
  Fill in the boxes at the top of this page.
  Fasten this insert securely to your answer book. \begin{figure}[h]
  \captionsetup{labelformat=empty} \caption{Scatter diagram for parcel deliveries by a van} \includegraphics[alt={},max width=\textwidth]{7faa4a2d-f5cc-4cc3-a3a9-5d8290ceabdc-8_2420_1664_349_175}
  \end{figure} Figure 1 (for Question 3)