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1 MATH CALCULUS & STATISTICS/BUSN  CRN EXAM #  WEDNESDAY, FEB 09  DR. BRIDGE Name (Place your name here and on the Scantron form.) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the number of subsets of the set. ) {red, blue, yellow, purple, orange, green, black} A) Let U = {p, q, r, s, t, u, v, w, x, y, z}, A = {p, q, r, s, t, u} and B = {p, q, r, x, y, z}. List the members of the indicated set. ) A B A) {u, v, w} {p, q, r} {x, y, z} {s, t, u} Shade the Venn diagram to represent the set. 3) A B A) ) A (B A)
2 Use the union rule to answer the question. 5) If n(a) = 6, n( =, and n(a = ; what is n(a? A) ) If n(a) = 5, n(a = 3, and n(a = ; what is n(? A) Use a Venn Diagram and the given information to determine the number of elements in the indicated set. 7) n(u) = 60, n(a) = 9, n( = 6, and n(a =. Find n(a '. A) ) n(u) = 5, n(a) = 39, n( = 50, n( = 38, n(a = 8, n(a =, n(b = 5, and n(a B = 3. Find n((a B '). A) Use a Venn diagram to answer the question. 9) At the University of Edmond (EU) there are 5 students taking College Algebra or Calculus & Statistics. 00 are taking College Algebra, are taking Calculus & Statistics, and 70 are taking both College Algebra and Calculus & Statistics. How many are taking Calculus & Statistics but not College Algebra? A) ) A survey of a group of tourists was taken in Oklahoma City. The survey showed the following: 6 of the tourists plan to visit Bricktown; 9 plan to visit Edmond; plan to visit the Art Museum and Edmond, but not Bricktown; plan to visit the Art Museum and Bricktown, but not Edmond; 8 plan to visit Bricktown and Edmond, but not the Art Museum; 8 plan to visit the Art Museum, Edmond, and Bricktown; plan to visit none of the three places. How many plan to visit the Art Museum only? A) Find the probability of the given event. ) A card drawn from a wellshuffled deck of 5 cards is an ace. A) 5 ) A card drawn from a wellshuffled deck of 5 cards is not red. A) 5 5 ) A card drawn from a wellshuffled deck of 5 cards is a 9 or a black face card. 5 A) 5 ) A bag contains 5 red marbles, blue marbles, and green marble. A randomly drawn marble is not blue. A) 3 8 3
3 Use the given table to find the probability of the indicated event. Round your answer to the nearest thousandth. 5) College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results. toppings freshman sophomore junior senior cheese 3 3 meat 8 3 veggie 8 3 A randomly selected student prefers a cheese topping. A) Solve the problem. 6) A single die is rolled one time. Find the probability of rolling a number that is odd and less than. A) ) One card is selected from a deck of cards. Find the probability of selecting a club or a queen. A) 5 7 Suppose P( = 0.8, P(M = 0.07, and P(M = 0.6. Find the indicated probability. 8) P(M C ) A) Solve the problem. 9) A survey revealed that 0% of people are entertained by reading books, 33% are entertained by watching TV, and 7% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? Express the answer as a percentage. A) 73% 00% 7% 6% 0) If a single fair die is rolled, find the probability of a 5 given that the number rolled is greater than. A) ) If two fair dice are rolled, find the probability that the roll is a double given that the sum is. A) ) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a club, given that the first card was a diamond. A) ) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is red, given that the first card was black. A)
4 Assume that two marbles are drawn without replacement from a box with blue, 5 white, green, and 6 red marbles. Find the probability of the indicated result. ) The second marble is red, given that the first marble is white. A) Use the given table to find the indicated probability. 5) The following table contains data from a study of two airlines which fly to Edmond, OK. Number of flights arrived on time Number of flights arrived late Podunk Airlines 5 5 Upstate Airlines 35 5 P(flight arrived on time flight was on Upstate Airlines)? A)
5 Answer Key Testname: MATH EXAM # ) A ) D 3) D ) D 5) C 6) C 7) A 8) A 9) D 0) C ) D ) A ) D ) B 5) C 6) A 7) D 8) D 9) D 0) C ) B ) B 3) D ) C 5) D
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