math 218 fall 2009 final

math 218 fall 2009 final - MATH 218 FINAL EXAM December 16,...

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MATH 218 FINAL EXAM December 16, 2009 Last Name: _______________________ First Name: _________________________ Student ID Number: _________________ Signature: _________________________ Circle your instructor’s name and session time: Dumett (2pm) Fulman (1pm) Kim (10am) Lin (11am), (12noon) Lytvak (11am), (12noon), (2pm) Mancera (1pm), (2pm) Piterbarg (9am) Polunchenko (10am) Rosen (1pm) Yin (10am),(11am) INSTRUCTIONS On this examination, you may use a calculator and one 2 1 8 inch by 11 inch sheet of handwritten notes (both sides may be written on). No books or other notes are permitted. Answer all eleven problems. Numerical answers alone are not sufficient. You must indicate how you derived them (show work) to obtain full credit . Points may be deducted if you do not justify your final answer. Please indicate clearly whenever you continue your work on the back of the page. When an answer box is provided, put your final answer in the box. When submitting a numerical answer that is a decimal, use four decimal places of accuracy after the decimal point or, if warranted by the data, the appropriate smaller number of decimal places. When submitting a numerical answer that is a fraction, reduce it to lowest terms. Be sure to include the units in your answer. If you can not do part a) of some problem, but you need the answer for part b), then you can get partial credit for showing you know what to do. You could write, “let p be the answer to a),” and solve b) in terms of p . The value of a problem is indicated in parentheses following the problem number. The exam is worth a total of 220 points. Problem Value Score 1 20 2 20 3 20 4 20 5 20 6 20 7 20 8 20 9 20 10 20 11 20 Total 220 1
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(20 points) In a large community 60% of all people have Visa credit cards and 50% of all people have MasterCard credit cards. 27% of people in this community have MasterCard credit cards but no Visa credit cards. Assume that no one can have more than one card of the same type. (a) (5 points) Find the probability that a randomly selected person in this community has both Visa and MasterCard credit cards. (a) (b) (5 points) Find the probability that a randomly selected person in this community has exactly one credit card (Visa or MasterCard). (b) (c) (5 points) Are the events “person has a Visa card” and “person has a MasterCard card” independent? Explain. (d) (5 points) Is a randomly selected person more likely or less likely to have a MasterCard card if he/she has a Visa card? Explain. (c)
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This note was uploaded on 01/11/2010 for the course MATH 218 taught by Professor Haskell during the Fall '06 term at USC.

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math 218 fall 2009 final - MATH 218 FINAL EXAM December 16,...

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