MATH 2030 Midterm: MATH 2030 mt1solb

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You have 50 minutes to complete this exam. There are 5 questions on 5 pages, worth a total of 70 points. If you run out of room, use the back of the page. You may use calculators or refer to a formula sheet (a letter-size sheet with writing on either side). You may not refer to other notes, books, or use wireless internet devices. Show your work, and explain or justify your solutions if possible. You may leave numerical answers unsimpli ed: [10] an event a is disjoint from events b and c. you are given that. P (a) = 0. 1 p (a b) = 0. 4 p (a c) = 0. 5 p (a b c) = 0. 6. Solution: by disjointness, 0. 4 = p (a b) = p (b) + p (a) = p (b) + 0. 1, so. P (b) = 0. 4 0. 1 = 0. 3; likewise p (c) = p (a c) p (a) = 0. 5 0. 1 = 0. 4 and.