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In ABC University, 80% are local students, among them 12.5% are assigned with the university hostel. For non-local students, 25% of them are NOT assigned with the university hostel. Suppose a student

In ABC University, 80% are local students, among them 12.5% are assigned with the university hostel. For non-local students, 25% of them are NOT assigned with the university hostel. Suppose a student is randomly selected from the ABC University.  

Let H be the selected student is assigned with the university hostel and L be the selected student is a local student.  

Find the probability that:   (a) the selected student is a non-local student and is assigned with the university hostel.                (3 marks)   (b) the selected student is assigned with the university hostel. (3 marks)   (c) the selected student is a non-local student given that he/she is assigned with the university hostel. (3 marks)   (d) the selected student is a non-local student or he/she is assigned with the university hostel.             (3 marks

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