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Question 2 In a university, 30% of the students are female and 20% of them studying accounting. Of those male students, 25% of them do

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Question 2 In a university, 30% of the students are female and 20% of them studying accounting. Of those male students, 25% of them do not studying accounting. (a) Construct a well-labelled probability tree diagram with the joint probabilities calculated to illustrate the situation. (5 marks) (b) Find the probability that a randomly selected student (i) is studying accounting. (2 marks) (ii) is a female given that she is studying accounting. (4 marks) (iii) is a male or not studying accounting. (3 marks) [Total: 14 marks]

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