3. The table below shows the numbers of males and females in each of three employment...

    

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3. The table below shows the numbers of males and females in each of three employment categories at a university on 31 July 2003. Employment category Managerial Academic Support Male 38 369 303 Female 26 275 643 (a) An employee is selected at random. Determine the probability that the employee is: i. female; ii. a female academic; iii. either female or academic or both; iv. female, given that the employee is academic. [1] [1] [2] [2] (b) Three employees are selected at random, without replacement. Determine the probability that i. all three employees are male; ii. exactly one employee is male. [2] [3] (e) 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: iFOA; ii. FA. 3. The table below shows the numbers of males and females in each of three employment categories at a university on 31 July 2003. Employment category Managerial Academic Support Male 38 369 303 Female 26 275 643 (a) An employee is selected at random. Determine the probability that the employee is: i. female; ii. a female academic; iii. either female or academic or both; iv. female, given that the employee is academic. [1] [1] [2] [2] (b) Three employees are selected at random, without replacement. Determine the probability that i. all three employees are male; ii. exactly one employee is male. [2] [3] (e) 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: iFOA; ii. FA.