Question

Probability

4. A researcher was interested in the education background of trainees attending a management course. The (incomplete) data is shown in the contingency table Education Gender Bachelor degree 320 Do not have a bachelor Total Female Male Total xxX 65 210 XxX 135 600 a) If a male trainee is selected, what is the probability he has a bachelor degree? (2 marks)

b) A trainee is randomly selected. What is the probability that a trainee is a female and (2 marks) c) What is probability for a randomly selected trainee who is a female or has a bachelor (3 marks) (3 marks) e) Are gender and having a bachelor degree mutually exclusive? Can mutually (3 marks) has a bachelor degree? degree? d) Are gender and education background independent? Explain exclusive events be independent? Explain

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