FALL 2012 MATH 1324 REVIEW EXAM 4


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1 FALL 01 MATH 134 REVIEW EXAM 4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sample space for the given experiment. 1) An ordinary die is rolled. A) {6} B) {1, 6} C) {1,, 3, 4, 5, 6} D) {36} 1) ) A box contains 10 red cards numbered 1 through 10. One card is drawn at random. A) {100} B) {10} C) {1,, 3, 4, 5, 6, 7, 8, 9, 10} D) {1, 10} ) 3) A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. A blue card is picked, followed by a green card. 3) A) {(1, 1), (1, ), (1, 3), (, 1), (, ), (, 3), (3, 1), (3, ), (3, 3), (4, 1), (4, ), (4, 3)} B) {(1, 1), (1, ), (1, 3), (1, 4), (, 1), (, ), (, 3), (, 4), (3, 1), (3, ), (3, 3), (3, 4)} C) {1} D) {7} 4) A lottery uses balls numbered 1 through 37. An evennumbered ball is picked. A) {} B) {36} C) {, 4, 6,..., 36} D) {1,, 3,..., 37} 4) For the experiment described, write the indicated event in set notation. 5) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as a subset of the sample space: The first toss shows a six. 5) A) {(6, 1), (6, 3), (6, 5)} B) {(6, 1), (6, ), (6, 4), (6, 5), (6, 6)} C) {(6, 3)} D) {(6, 1), (6, ), (6, 3), (6, 4), (6, 5), (6, 6)} 6) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as a subset of the sample space: The sum of the tosses is either three or four. 6) A) {(, 1), (3, 1), (, )} B) {(1, ), (, 1), (1, 3), (3, 1), (, )} C) {(1, ), (1, 3), (, )} D) {(1, ), (, )} 7) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as a subset of the sample space: Both tosses show an even number. 7) A) {(, 4), (, 6), (4, ), (4, 6), (6, ), (6, 4)} B) {(, ), (, 4), (, 6), (4, ), (4, 4), (4, 6), (6, ), (6, 4), (6, 6)} C) {(, ), (4, 4), (6, 6)} D) {(, ), (, 4), (, 6)} 1
2 8) A coin is tossed three times. Represent the event ʺthe first toss comes up tailsʺ as a subset of the sample space. 8) A) {hhh, hht, hth, htt, thh, tht, tth, ttt} B) {thh, tht, tth} C) {tails, heads, heads} D) {thh, tht, tth, ttt} A die is rolled twice. Write the indicated event in set notation. 9) The second roll is a 1. A) {(1, 1), (3, 1), (5, 1)} B) {(1, 1), (, 1), (4, 1), (5, 1), (6, 1)} C) {(1, 1), (, 1), (3, 1), (4, 1), (5, 1), (6, 1)} D) {(3, 1)} 9) 10) The sum of the rolls is 8. A) {(, 6), (3, 5), (4, 4), (5, 3), (6, )} B) {(, 6), (3, 5), (4, 4)} C) {(4, 4)} D) {(, 6), (3, 5), (5, 3), (6, )} 10) 11) The sum of the rolls is either 5 or 6, and one roll is a 4. A) {(1, 4), (, 4)} B) {(4, 1), (4, ), (1, 4), (, 4)} C) {(4, 1), (1, 4)} D) {(4, 1), (4, )} 11) Find the probability of the given event. 1) A card drawn from a wellshuffled deck of 5 cards is a red ace. A) 1 B) 1 1 C) 6 5 D) ) 13) A card drawn from a wellshuffled deck of 5 cards is an ace or a 9. A) 5 B) 10 C) D) 13 13) 14) A bag contains 5 red marbles, 9 blue marbles, and green marbles. A randomly drawn marble is blue. A) 5 B) 1 9 C) D) ) 15) A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is not blue. 15) A) 6 B) 1 3 C) 3 D) 3 16) A bag contains 19 balls numbered 1 through 19. A randomly chosen ball has an even number. A) 9 B) 19 9 C) D) )
3 Use the given table to find the probability of the indicated event. Round your answer to the nearest thousandth. 17) College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results. 17) toppings freshman sophomore junior senior cheese meat veggie A randomly selected student prefers a cheese topping. A).356 B).10 C).338 D).3 Determine whether the given events are disjoint. 18) Knowing Spanish and knowing Chinese A) Yes B) No 18) 19) Drawing a face card from a deck of cards and drawing a deuce A) No B) Yes 19) Solve the problem. 0) A single die is rolled one time. Find the probability of rolling an odd number or a number less than 5. 0) A) 1 B) 1 C) 5 6 D) 3 1) One card is selected from a deck of cards. Find the probability of selecting a black card or a queen. A) 1 B) 7 C) 15 D) ) Suppose P(C) =.048, P(M C) =.044, and P(M C) =.54. Find the indicated probability. ) P(M) A).480 B).47 C).58 D).50 ) 3) P(Cʹ) A).956 B).476 C) 1 D).95 3) 4) P(Mʹ) A).50 B).47 C).58 D).480 4) 3
4 Find the odds in favor of the indicated event. 5) Spinning an A on the spinner pictured below. (The sectors are of equal size.) 5) A) 3 to 5 B) 3 to 1 C) to 1 D) 1 to 3 6) Randomly drawing a 5 from the cards pictured below. 6) A) 5 to 1 B) 4 to 1 C) 1 to 5 D) 1 to 4 Identify the probability statement as empirical or not. 7) The probability of a forest fire in Yellowstone National Park this year is.30. A) Empirical B) Not empirical 7) An experiment is conducted for which the sample space is S = {a, b, c, d}. Decide if the given probability assignment is possible for this experiment. 8) Outcomes Probabilities a.50 b.6 c.11 d.13 A) No B) Yes 8) 9) Outcomes Probabilities a 3/8 b 1/8 c 3/8 d 5/16 A) No B) Yes 9) 30) Outcomes Probabilities a.39 b.15 c.58 d.18 A) Yes B) No 30) 4
5 Solve the problem. 31) A survey revealed that 5% of people are entertained by reading books, 48% 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. 31) A) 100% B) 46% C) 73% D) 7% 3) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd. A) 1 B) 1 C) 1 D) 0 6 3) Find the median. 33) 3,,, 16, 50, 38, 31 A) 3 B) 31 C) D) 16 33) Find the mean for the frequency distribution. Round to the nearest tenth. 34) Value Frequency ) A) 63.7 B) C) 98.9 D) 73.0 Find the mode or modes. 35) 5, 9, 97, 3,, 8, 77, 1, 4, 16 A) 9 B) 1.6 C) 8 D) No mode 35) 36) 7.03, 7.41, 7.56, 7.03, 7.88, 7.99, 7.6 A) B) 7.03 C) 7.56 D) ) 37) 98, 39, 3, 39, 9, 98 A) 98, 39 B) 98 C) 55.8 D) 39 37) Find the mean. 38) Frankʹs Furniture employees earned $01.10, $537.76, $1.17, $47.10, $87.60, and $150.8 for last week. Find the mean wage. 38) A) $39.00 B) $411.5 C) $74.17 D) $
6 Answer Key Testname: FINITE REV EXAM4 1) C ) C 3) B 4) C 5) D 6) B 7) B 8) D 9) C 10) A 11) B 1) A 13) C 14) D 15) D 16) C 17) A 18) B 19) B 0) C 1) D ) D 3) D 4) D 5) A 6) D 7) A 8) B 9) A 30) B 31) B 3) D 33) C 34) A 35) D 36) B 37) A 38) C 6
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