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# Finite Math (30 Question)

QUESTION 1The following table gives the number of people killed in rollover crashes in various types of vehicles in 2002:Types of VehiclesCarsPickupsSUVsVansDeaths472026602195684If a fatality due to a rollover crash in 2002 is picked at random, what is the probability that the victim was in a pickup or an SUV?a.0.52b.0.37c.0.47d.0.40e.0.551 pointsQUESTION 2The sample space associated with an experiment is given by S = { a, b, c}, where P( a) = . , P(b) = ., P(c) = ..a.The statement is correctb.The statement is incorrect1 pointsQUESTION 3A time study was conducted by the production manager of Universal Instruments to determine how much time it took an assembly worker to complete a certain task during the assembly of its Galaxy home computers. Results of the study indicated that 25% of the workers were able to complete the task in less than 3 minutes, 55% of the workers were able to complete the task in 4 minutes or less, and 15% of the workers required more than 5 minutes to complete the task.If an assembly-line worker is selected at random from this group, what is the probability that the time taken for the worker to complete the task will be between 3 and 4 min (inclusive)?a.b.c.d.1 pointsQUESTION 4Let E and F be two events that are mutually exclusive and suppose P( E) = .4 and P( F) = .2. Compute P( E ∩ F).a.0.4b.0.5c.0.9d.01 pointsQUESTION 5Joanne, a high school senior, has applied for admission to four colleges, A, B, C, and D. She has estimated that the probability that she will be accepted for admission by A, B, C, and D is 0.45, 0.27, 0.11, and 0.09, respectively. Thus, the probability that she will be accepted for admission by at least one college is .a.The statement is incorrectb.The statement is correct1 pointsQUESTION 6The following table gives the number of people killed in rollover crashes in various types of vehicles in 2002:Types of VehiclesCarsPickupsSUVsVansDeaths438126622445684If a fatality due to a rollover crash in 2002 is picked at random, what is the probability that the victim was in a car?a.0.33b.0.51c.0.43d.0.48e.0.361 pointsQUESTION 7Mark Owens, an optician, estimates that the probability that a customer coming into his store will purchase one or more pairs of glasses but not contact lenses is .25, and the probability that he will purchase one or more pairs of contact lenses but not glasses is .40. Hence, Owens concludes that the probability that a customer coming into his store will purchase neither a pair of glasses nor a pair of contact lenses is .20.a.The statement is correctb.The statement is incorrect1 pointsQUESTION 8The sample space associated with an experiment is given by . The events and are mutually exclusive. Hence, the events Ec and F c are mutually exclusive.a.The statement is incorrectb.The statement is correct1 pointsQUESTION 9In a poll conducted among likely voters by Zogby International, voters were asked their opinion on the best alternative to oil and coal. The results are as follows:SourceNuclearWindFuelcellsBiofuelsSolarother/no answerRespondents, %14.315.43.424.728.513.7What is the probability that a randomly selected participant in the poll mentioned wind or solar energy sources as the best alternative to oil and coal? Round answer to two decimal places.a.0.39b.0.44c.0.49d.0.15e.0.291 pointsQUESTION 10In a survey conducted to see how long Americans keep their cars, 2,000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow:Years Car Is Kept, xRespondents0 ≤ x < 1401 ≤ x < 34203 ≤ x < 53805 ≤ x < 73607 ≤ x < 10220x ≥10580Find the probability distribution associated with these data and answer the question.What is the probability that an automobile owner selected at random from those surveyed plans to keep his or her present car less than seven years?a.0.73b.0.60c.0.63d.0.711 pointsQUESTION 11An experiment consists of selecting a card at random from a 52-card deck. Find the probability of the event that a heart or a ace is drawn.a.b.c.d.1 pointsQUESTION 12A leading manufacturer of kitchen appliances advertised its products in two magazines: Good Housekeeping and the Ladies Home Journal. A survey of 500 customers revealed that 130 learned of its products from Good Housekeeping, 120 learned of its products from the Ladies Home Journal, and 90 learned of its products from both magazines.What is the probability that a person selected at random from this group saw the manufacturer's advertisement in both magazines?a.b.c.d.1 pointsQUESTION 13In a survey conducted in November 2002 of 1,400 international business travelers concerning in-flight service over the past few years, the following information was obtained.Comments on Quality of ServiceRespondentsHas remained the same from two years ago.630Has diminished over that time frame.413Has improved over that time frame.329Weren't sure.28If a person in the survey is chosen at random, what is the probability that he or she has rated the in-flight service as remaining the same or improved over the time frame in question?a.0.665b.0.695c.0.655d.0.675e.0.6851 pointsQUESTION 14Among 1,000 freshmen pursuing a business degree at a university, 520 are enrolled in an Economics course, 490 are enrolled in a Mathematics course, and 290 are enrolled in both an Economics and a Mathematics course.What is the probability that a freshman selected at random from this group is enrolled in exactly one of these two courses?a.0.43b.0.56c.0.69d.0.30e.0.821 pointsQUESTION 15Let E and F be two events of an experiment with sample space S. Suppose P( E) = 0.7, P( F) = 0.4, and P( E ∩ F) = 0.2.Compute P( Fc).a.0.5b.0.4c.0.7d.0.3e.0.61 pointsTwoQUESTION 1Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with five children will have at least one boy .a.1b.c.d.e.1 pointsQUESTION 2In the game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack.If a player is dealt 2 cards from a standard deck of 52 well-shuffled cards, what is the probability that the player will receive a blackjack? If a player is dealt 2 cards from 2 well-shuffled standard decks, what is the probability that the player will receive a blackjack?a.0.0239, 0.0030b.0.0483, 0.0030c.0.0483, 0.0478d.0.0118, 0.0478e.0.0118, 0.02391 pointsQUESTION 3Seven different written driving tests are administered by the Motor Vehicle Department. One of these 7 tests is selected at random for each applicant for a driver's license.If a group consisting of two women and three men apply for a license, what is the probability that exactly two of the five will take the same test?a.0.683b.0.5c.0.013d.0.643e.0.188f.0.7471 pointsQUESTION 4There were 42 different presidents of the United States from 1789 through 2000. What is the probability that at least two of them had the same birthday?a.b.c.d.e.f.1 pointsQUESTION 5A customer at Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 50 oranges, of which 4 are rotten. What is the probability that the sample contains 1 or more rotten oranges?a.b.c.d.e.f.1 pointsQUESTION 6There are 12 signs of the Zodiac: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces. Each sign corresponds to a different calendar period of approximately 1 month.Assuming that a person is just as likely to be born under one sign as another, what is the probability that in a group of five people at least two of them were born under the sign of Aries?a.0.059b.0.515c.0.901d.0.338e.0.205f.0.0821 pointsQUESTION 7Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event.Two black cards are drawn.a.b.c.d.e.f.1 pointsQUESTION 8What is the probability that at least three of the nine justices of the U.S. Supreme Court have the same birthday? Round your answer to the nearest ten thousandth.a.0.0861b.0.0436c.0.0324d.0.0033e.0.0205f.0.04221 pointsQUESTION 9An unbiased coin is tossed five times. Find the probability of the given event.The coin lands heads at least once.a.b.c.d.e.1f.01 pointsQUESTION 10Fourty people are selected at random. What is the probability that none of the people in this group have the same birthday?a.b.c.d.e.f.1 pointsQUESTION 11A druggist wishes to select three brands of aspirin to sell in his store. He has five major brands to choose from: A, B, C, D, and E. If he selects the three brands at random, what is the probability that he will select at least one of the two brands B and E?a.b.c.d.e.1f.01 pointsQUESTION 12Four balls are selected at random without replacement from an urn containing four white balls and five blue balls. Find the probability of the given event.All of the balls are blue.a.b. 0c.d.e.1f.1 pointsQUESTION 13An exam consists of ten true-or-false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly five questions correctly?a.0.053b.0.976c.0.546d.0.246e.0.415f.0.5721 pointsQUESTION 14In ''The Numbers Game,'' a state lottery, four numbers are drawn with replacement from an urn containing the digits 0-9, inclusive. Find the probability of a ticket holder having the indicated winning ticket.All four digits in any order(including the other winning tickets)a.0.0001b.0.0736c.0.001d.1e.0.0094f.01 pointsQUESTION 15A "lucky dollar" is one of the nine symbols printed on each reel of a slot machine with three reels. A player receives one of various payouts whenever one or more "lucky dollars" appear in the window of the machine. What is the probability that exactly two "lucky dollar" symbols will appear in the window of the slot machine?a.b.c.d.e.f.1 points