Midterm - Midterm Exam(sample) 1) If a test consists of 12...

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Midterm Exam(sample) 1) If a test consists of 12 true-false questions. In how many ways can a student mark the test paper with one answer to each question? 2) Two professors and three graduate assistants are responsible for the supervision of a lab and at least one professor and one graduate assistant has to be present at all times. a) Using two coordinates so that (1,3), for example, represents the event that one professor and 3 graduate assistants are present, describe the corresponding Sample Space. b) Describe in words the events which are represented by A = {(1,3), (2,3)}, B = {(1,1), (2,2)} and c = {(1,2), (2,1)} c) Find B ±² C d) Are A and C mutually exclusive? Why?
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