Review Test 2. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Review Test 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. ) Last year, nine employees of an electronics company retired. Their ages at retirement are listed ) below. Find the mean retirement age A) 58.2 yr B) 58.0 yr C) 58.8 yr D) 59.4 yr 2) Six college buddies bought each other Christmas gifts. They amounts they spent are shown below. $287.0 $ $ $89.34 $48.59 $ What was the mean amount spent? Round your answer to the nearest cent. A) $ B) $ C) $37.80 D) $ ) The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean monthly precipitation A) 2.80 in. B) 3.27 in. C) 2.94 in. D) 3.09 in. 2) 3) Find the median for the given sample data. 4) The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed below Find the median temperature. A) 64 F B) 3 F C) 53 F D) 5 F 5) A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below Find the median number of newspapers sold. A) 75 newspapers B) 202 newspapers C) 3 newspapers D) 242 newspapers 6) Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. Find the median A) 55.8 months B) 26.5 months C) 60. months D) 9 months 4) 5) 6)

2 7) The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data A) 2.94 in. B) 3.45 in. C) 3.50 in. D) 3.40 in. 7) Find the mode(s) for the given sample data. 8) ) A) 49 B) 46 C) 42 D) 4.4 9) ) A) 7.35 B) 7.56 C) 7.4 D) ) Listed below are the lengths (in inches) of each snake in the Clarmont Zoo's reptile house A) in. B) 9 in.,5 in., 22 in., 3 in., 6 in., 0 in., 29 in., 0 in., 4 in., 7 in., 02 in. C) no mode D) 9.3 in. ) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below A) 5 yr, 6 yr, 62 yr, 57 yr, 50 yr, 67 yr, 68 yr, 58 yr, 53 yr B) no mode C) 58.6 yr D) 58 yr 0) ) Find the midrange for the given sample data. 2) ) A) 2.25 B).7 C) 2.2 D) ) A meteorologist records the number of clear days in a given year in each of 2 different U.S. cities. The results are shown below. Find the midrange A) 7 days B) 98 days C) 0.5 days D) 2 days 4) Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange A) 76.5 months B) 6 months C) 65.5 months D) 65.9 months 3) 4) 2

3 5) The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange A) mph B) 4.30 mph C) mph D) 42. mph 5) Find the mean of the data summarized in the given frequency distribution. 6) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. 6) Salary ($) Employees 5,00-0, ,00-5, ,00-20, ,00-25, ,00-30, A) $7,500 B) $6, C) $20,48.75 D) $8, ) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the mean waiting time. Round your answer to one decimal place. 7) Waiting time (minutes) Number of customers A) 9.4 min B) 3.5 min C) 7. min D) 9.3 min Solve the problem. 8) Elaine gets quiz grades of 90, 83, and 64. She gets a 69 on her final exam. Find the weighted mean if the quizzes each count for 20% and the final exam counts for 40% of the final grade. Round to one decimal place. A) 74.0 B) 79.2 C) 76.5 D) ) A student earned grades of 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 0%, and homework counts for 20%. What is her weighted mean grade? Round to one decimal place. A) 82. B) 80.2 C) 8.2 D) 8.3 8) 9) 3

4 20) A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5,, 5, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D =, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. A) 9.00 B) 3.46 C).37 D) ) A student earned grades of A, C, A, A, and B. Those courses had these corresponding numbers of credit hours:, 6, 4,, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D =, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. A) 9.60 B) 2.00 C) 3.00 D) ) 2) Find the range for the given sample data. 22) Rich Borne teaches Chemistry 0. Last week he gave his students a quiz. Their scores are listed below A) 7 B) 38 C) 6 D) 54 23) Jeremy called eight appliance stores and asked the price of a specific model of microwave oven. The prices quoted are listed below: $6 $479 $44 $606 $369 $252 $37 $492 A) $6 B) $08 C) $490 D) $479 24) Fred, a local mechanic, recorded the price of an oil and filter change at twelve competing service stations. The prices (in dollars) are shown below A) $0.05 B) $32.99 C) $4.04 D) $ ) 23) 24) Find the variance for the given data. Round your answer to one more decimal place than the original data. 25) A class of sixth grade students kept accurate records on the amount of time they spent playing video games during a one-week period. The times (in hours) are listed below: A) hr 2 B) hr 2 C) hr 2 D) hr 2 26) The weights (in ounces) of 0 cookies are shown A) oz 2 B) 0.08 oz 2 C) oz 2 D) oz 2 27) The normal monthly precipitation (in inches) for August is listed for 2 different U.S. cities A).05 in. 2 B).09 in. 2 C).00 in. 2 D) 0.94 in. 2 25) 26) 27) 4

5 Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 28) ) A) 5. B) 5.8 C) 5.4 D).6 29) ) A) 58.5 B) 54.8 C) 24.3 D) ) ) A) B) 36. C) D) ) The top nine scores on the organic chemistry midterm are as follows. 47, 55, 7, 4, 82, 57, 25, 66, 8 A) 8.9 B) 20.2 C) 7.3 D) ) To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $356 $69 $293 $267 $386 $288 $38 $275 A) $72,24.0 B) $69,488.0 C) $65. D) $ ) The numbers listed below represent the amount of precipitation (in inches) last year in six different U.S. cities A) in. B) 37. in. C).26 in. D) in. 34) Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant A) 43.9 months B) 40.5 months C) 4.5 months D) 42.7 months 35) The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in meters) are listed below A) m B) 0.22 m C) m D).28 m 3) 32) 33) 34) 35) Find the standard deviation of the data summarized in the given frequency distribution. 36) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Salary (dollars) Employees 5,00-0, ,00-5, ,00-20, ,00-25, ,00-30,000 9 A) $ B) $7588. C) $ D) $ ) 5

6 37) The test scores of 40 students are summarized in the frequency distribution below. Find the standard deviation. Score Students A) 4. B) 2.7 C) 2. D) ) Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. 38) The heights in feet of people who work in an office are as follows A) 0.5 B) 0. C) 0.2 D).2 38) 39) The maximum value of a distribution is 40.8 and the minimum value is ) A) 4.6 B) 6.6 C) 9.6 D) 4.4 Solve the problem. Round results to the nearest hundredth. 40) A department store, on average, has daily sales of $29, The standard deviation of sales is $ 500. On Tuesday, the store sold $35,66.55 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good day? A) 4.3, yes B) 3.06, no C) 4.0, no D) 3.82, yes 4) The mean of a set of data is 4. and its standard deviation is Find the z score for a value of A) 2.0 B) 2.53 C) 2.45 D) ) A department store, on average, has daily sales of $28, The standard deviation of sales is $ On Tuesday, the store sold $34,885.2 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good day? A) 3.26, yes B) 3.42, no C) 2.6, no D) 3.57, yes 40) 4) 42) Find the number of standard deviations from the mean. Round your answer to two decimal places. 43) The annual snowfall in a town has a mean of 35 inches and a standard deviation of inches. Last year there were 60 inches of snow. How many standard deviations from the mean is that? A) 0.40 standard deviations below the mean B) 2.27 standard deviations below the mean C) 2.27 standard deviations above the mean D) 0.40 standard deviations above the mean 44) In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation of.7 pounds. Tyler consumed pounds of sugar last year. How many standard deviations from the mean is that? A).00 standard deviations below the mean B).76 standard deviations above the mean C).00 standard deviations above the mean D).76 standard deviations below the mean 45) The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that? A).20 standard deviations above the mean B).20 standard deviations below the mean C) 2.40 standard deviations above the mean D) 2.40 standard deviations below the mean 43) 44) 45) 6

7 Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than or greater than Round the z-score to the nearest tenth if necessary. 46) A body temperature of 96.7 F given that human body temperatures have a mean of F and a 46) standard deviation of A) 2.4; unusual B) -2.4; unusual C) -2.4; not unusual D) -.5; not usual 47) A weight of 224 pounds among a population having a mean weight of 58 pounds and a standard deviation of 23.5 pounds. A) 2.8; unusual B) 2.8; not unusual C) 65.8; unusual D) -2.8; not unusual 48) A time for the 00 meter sprint of 4.9 seconds at a school where the mean time for the 00 meter sprint is 7.6 seconds and the standard deviation is 2. seconds. A).3; not unusual B) -.3; not unusual C) -.3; unusual D) -2.7; unusual 47) 48) Determine which score corresponds to the higher relative position. 49) Which is better, a score of 92 on a test with a mean of 7 and a standard deviation of 5, or a score of 688 on a test with a mean of 493 and a standard deviation of 50? A) Both scores have the same relative position. B) A score of 92 C) A score of ) 50) Which score has a higher relative position, a score of 27.2 on a test for which x = 240 and s = 24, or a score of 63.6 on a test for which x = 60 and s = 6? A) A score of 27.2 B) Both scores have the same relative position. C) A score of ) Find the percentile for the data value. 5) Data set: ; data value: 42 A) 52 B) 35 C) 60 D) 70 52) Data set: ; data value: 6 A) 62 B) 35 C) 25 D) 40 53) Data set: ; data value: 28 A) 85 B) 62 C) 75 D) 70 5) 52) 53) Find the indicated measure. 54) Use the given sample data to find Q A) 6.0 B) 6.0 C) 67.0 D) ) 7

8 55) The weights (in pounds) of 30 newborn babies are listed below. Find P A) 6. lb B) 5.9 lb C) 6.0 lb D) 4.8 lb 56) The test scores of 40 students are listed below. Find P A) 34 B) 85 C) 89 D) 87 55) 56) Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. 57) The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set A) 57) B) C) D) 8

9 58) The test scores of 32 students are listed below. Construct a boxplot for the data set A) 58) B) C) D) 59) The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. Construct a boxplot for the data set A) B) 59) C) D) Express the indicated degree of likelihood as a probability value. 60) "You cannot determine the exact decimal-number value of." 60) A) B) 3.4 C) 0.5 D) 0 6) "It will definitely turn dark tonight." 6) A) 0.67 B) 0.5 C) 0.30 D) 9

10 Answer the question. 62) What is the probability of an event that is certain to occur? 62) A) 0.99 B) 0.5 C) D) ) On a multiple choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess? 63) A) B) 3 4 C) 2 D) 4 Find the indicated probability. 64) A sample space consists of 38 separate events that are equally likely. What is the probability of each? A) B) 0 C) 38 D) 38 64) 65) On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct? 65) A) 6 B) 0 C) 6 D) 66) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 3? A) 2 B) 7 C) D) ) 67) In a poll, respondents were asked whether they had ever been in a car accident. 25 respondents indicated that they had been in a car accident and 449 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary. A) B) C) D) ) The data set represents the income levels of the members of a country club. Find the probability that a randomly selected member earns at least $77,000. Round your answers to the nearest tenth. 93,000 09,000 75,000 7,000 76,000 93,000 77,000 73,000 33,000 73,000 74,000 85,000 25,000 76,000 09,000 0,000 77,000 4,000 72,000 0,000 A) 0.8 B) 0.6 C) 0.7 D) ) In a certain class of students, there are boys from Wilmette, 4 girls from Winnetka, 7 girls from Wilmette, 4 boys from Glencoe, 5 boys from Winnetka and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy? A) 0.57 B) 0.7 C) 0.34 D) ) 68) 69) 0

11 70) Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 85 7 Subject does not have the disease If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)? What does this probability suggest about the accuracy of the test? A) 0.03; The probability of this error is high so the test is not very accurate. B) ; The probability of this error is low so the test is fairly accurate. C) 0.44; The probability of this error is high so the test is not very accurate. D) 0.55; The probability of this error is high so the test is not very accurate. 70) Find the indicated complement. 7) If P(A) = 4, find P(A). 7) 5 A) 4 29 B) 0 C) 5 4 D) 5 72) Based on meteorological records, the probability that it will snow in a certain town on January st is Find the probability that in a given year it will not snow on January st in that town. A) B) C).428 D) ) If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. 3 A) B) 334 C) 3 D) ) 73) Find the indicated probability. 74) A spinner has equal regions numbered through 5. What is the probability that the spinner will stop on an even number or a multiple of 3? 74) A) 2 B) 2 3 C) 7 9 D) 3 75) The table below describes the smoking habits of a group of asthma sufferers. Nonsmoker Occasional smoker Regular smoker Heavy smoker Total Men Women Total If one of the 56 people is randomly selected, find the probability that the person is a man or a heavy smoker. A) B) C) D) ) Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? A) 0.04 B) C) D) ) 76)

12 77) A study of consumer smoking habits includes 86 people in the 8-22 age bracket (42 of whom smoke), 24 people in the age bracket (40 of whom smoke), and 99 people in the 3-40 age bracket (2 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 8-22 or does not smoke. A) B).203 C) 0.85 D) ) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. 77) 78) Waiting Time Number of (minutes) Customers If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 2 minutes or between 8 and 5 minutes? A) B) C) 0.65 D) ) Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers. A) B) C) D) ) 80) A batch consists of 2 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made. A) 0.76 B) C) D) ) When a pair of dice are rolled there are 36 different possible outcomes: -, -2, If a pair of dice are rolled 3 times, what is the probability of getting a sum of 7 every time? Round to eight decimal places. A) B) C) D) ) Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places. A) B) C) D) ) In a homicide case 4 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 4 witnesses would pick the same person. A) 0.8 B) C) D) ) 8) 82) 83) 2

13 84) You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction. A) 25 B) 3 25 C) D) ,652 84) 85) What is the probability that 4 randomly selected people all have different birthdays? Round to four decimal places. A) B) C) D) ) Among the contestants in a competition are 46 women and 23 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places. A) B) C) D) ) A sample of 4 different calculators is randomly selected from a group containing 47 that are defective and 29 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places. A) B) C) D) ) 86) 87) Find the indicated probability. Round to the nearest thousandth. 88) A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. A) B) C) D) 0. 89) In a batch of 8,000 clock radios 2% are defective. A sample of clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? A) B) C) 0.80 D) ) 89) Evaluate the expression. 90) 5 P 4 90) A) B) 5 C) 20 D) 24 9) 0 P 3 9) A) 27 B) 7 C) 20 D) ) 0 C 3 92) A) 240 B) 5040 C) 3 D) 20 Solve the problem. 93) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible? A) 28 B) 20,60 C) 720 D) 262,44 94) The library is to be given 3 books as a gift. The books will be selected from a list of 8 titles. If each book selected must have a different title, how many possible selections are there? A) 5832 B) 86 C) 54 D) ) 94) 3

14 95) 8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected? A) 2,220,075 B) 8 27 C) 23,27,200 D) 40,320 95) 96) The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected? A) 20 B) 7,00,720 C) 42,506 D) ) 97) How many 3-digit numbers can be formed using the digits, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed? A) 20 B) 5 C) 343 D) 6 98) A musician plans to perform 8 selections. In how many ways can she arrange the musical selections? A) 362,880 B) 40,320 C) 8 D) 64 99) A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are questions on the survey? A) 39,96,800 B) 2 C) 3,628,800 D) 00) A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order? A) B) 40,320 C) D) 8 40, ) 98) 99) 00) 0) In a certain lottery, five different numbers between and 20 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning? A) 20 B),860,480 C) 20! D) 20,860,480 0) Identify the given random variable as being discrete or continuous. 02) The number of oil spills occurring off the Alaskan coast 02) A) Continuous B) Discrete 03) The number of field goals kicked in a football game 03) A) Continuous B) Discrete 04) The height of a randomly selected student 04) A) Continuous B) Discrete 4

15 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 05) 05) x P(x) ) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. x P(x) ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 07) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows. Houses Sold (x) Probability P(x) A) µ = 3.50 B) µ = 3.35 C) µ = 3.60 D) µ = ) The number of golf balls ordered by customers of a pro shop has the following probability distribution. x P(x) A) µ = 9 B) µ = 5.55 C) µ = 8.22 D) µ = ) 08) 5

16 09) The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. x P(x) A) µ = 3.76 B) µ = 3.50 C) µ = 0.7 D) µ = ) Provide an appropriate response. Round to the nearest hundredth. 0) Find the standard deviation for the given probability distribution. x P(x) A) =.70 B) =.8 C) = 2.90 D) = 2.52 ) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate Office. Its probability distribution is as follows. Find the standard deviation for the probability distribution. Houses Sold (x) Probability P(x) ) ) A) = 4.45 B) = 2.25 C) = 6.86 D) = ) The probabilities that a batch of 4 computers will contain 0,, 2, 3, and 4 defective computers are , 0.302, , , and 0.000, respectively. Find the standard deviation for the probability distribution. A) = 0.56 B) = 0.76 C) = 0.63 D) = ) 6

17 Answer the question. 3) Suppose that a law enforcement group studying traffic violations determines that the accompanying table describes the probability distribution for five randomly selected people, where x is the number that have received a speeding ticket in the last 2 years. Is it unusual to find no speeders among five randomly selected people? x P(x) A) Yes B) No 4) Suppose that voting in municipal elections is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that voted in the last election. Is it unusual to find four voters among four randomly selected people? x P(x) A) Yes B) No 3) 4) Assume that a researcher randomly selects 4 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 4 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls) P(x) x(girls) P(x) ) Find the probability of selecting exactly 8 girls. 5) A) 0.83 B) C) 0.22 D) ) Find the probability of selecting exactly 4 girls. 6) A) B) 0.00 C) 0.22 D) ) Find the probability of selecting 2 or more girls. 7) A) B) 0.00 C) D) Provide an appropriate response. 8) In a game, you have a /36 probability of winning $85 and a 35/36 probability of losing $4. What is your expected value? A) $2.36 B) $6.25 C) -$3.89 D) -$.53 8) 7

18 9) Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 2 or a 3, nothing otherwise. What is your expected value? A) $2.00 B) $4.00 C) -$2.00 D) -$ ) A 28-year-old man pays $8 for a one-year life insurance policy with coverage of $50,000. If the probability that he will live through the year is , what is the expected value for the insurance policy? A) -$9.00 B) $49,90.00 C) -$80.89 D) $ ) 20) Determine whether the given procedure results in a binomial distribution. If not, state the reason why. 2) Rolling a single die 26 times, keeping track of the numbers that are rolled. 2) A) Not binomial: there are too many trials. B) Not binomial: the trials are not independent. C) Procedure results in a binomial distribution. D) Not binomial: there are more than two outcomes for each trial. 22) Rolling a single die 53 times, keeping track of the "fives" rolled. 22) A) Not binomial: there are too many trials. B) Not binomial: there are more than two outcomes for each trial. C) Procedure results in a binomial distribution. D) Not binomial: the trials are not independent. 23) Choosing 5 people (without replacement) from a group of 40 people, of which 5 are women, keeping track of the number of men chosen. A) Not binomial: the trials are not independent. B) Procedure results in a binomial distribution. C) Not binomial: there are more than two outcomes for each trial. D) Not binomial: there are too many trials. 23) 24) Spinning a roulette wheel 7 times, keeping track of the winning numbers. 24) A) Procedure results in a binomial distribution. B) Not binomial: there are more than two outcomes for each trial. C) Not binomial: the trials are not independent. D) Not binomial: there are too many trials. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. 25) n = 4, x = 3, p = 6 25) A) 0.05 B) 0.02 C) D) ) n = 5, x = 2, p = ) A) B) 0.98 C) 0.32 D) ) n = 30, x = 5, p = 5 27) A) 0.72 B) C) 0.98 D)

19 28) n = 0, x = 2, p = 3 28) A) 0.95 B) 0.93 C) 0.26 D) ) n = 7, x = 4, p = ) A) 0.40 B) C) D) Find the indicated probability. Round to three decimal places. 30) A test consists of 0 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? A) B) 0.72 C) D) ) A machine has identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working. A) B) C) 0.62 D) 0. 32) Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events. A) 0.89 B) C) 0.09 D) ) An airline estimates that 94% of people booked on their flights actually show up. If the airline books 73 people on a flight for which the maximum number is 7, what is the probability that the number of people who show up will exceed the capacity of the plane? A) B) 0.79 C) 0.05 D) ) A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 4 drivers living on one particular street, 3 were involved in a car accident last year. If 4 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? A) B) C) D) ) In a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 4 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 4 adults are randomly selected, 3 or fewer are in excellent health. A) B) C) D) ) 3) 32) 33) 34) 35) Find the indicated probability. 36) The brand name of a certain chain of coffee shops has a 46% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 8 Coffleton residents. Find the probability that exactly 4 of the 8 Coffleton residents recognize the brand name. A) B) C) D) ) 9

20 37) The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 0 Coffleton residents. Find the probability that the number that recognize the brand name is not 4. A) B) 0.79 C) D) ) A multiple choice test has 2 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? A) B) C) D) ) Suppose that 4% of people are left handed. If 9 people are selected at random, what is the probability that exactly 2 of them are left handed? A) B) C) 0.49 D) ) A slot machine at a hotel is configured so that there is a /200 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 6 times, find the probability of exactly 2 jackpots. If a guest told the hotel manager that she had hit two jackpots in 6 plays of the slot machine, would the manager be surprised? A) ; Yes, the probability of 2 jackpots in 6 plays is extremely small. B) ; Yes, the probability of 2 jackpots in 6 plays is extremely small. C) ; No, hitting 2 jackpots in 6 trials is not so unlikely. D) ; Yes, the probability of 2 jackpots in 6 plays is extremely small. 37) 38) 39) 40) 20

21 Answer Key Testname: REVIEW TEST 2 ) D 2) D 3) C 4) C 5) B 6) B 7) B 8) C 9) A 0) C ) B 2) D 3) C 4) A 5) A 6) D 7) D 8) D 9) C 20) D 2) C 22) B 23) C 24) C 25) B 26) A 27) B 28) C 29) B 30) D 3) A 32) C 33) C 34) D 35) C 36) B 37) D 38) C 39) C 40) D 4) D 42) A 43) C 44) B 45) D 46) B 47) A 48) B 49) B 50) A 2

22 Answer Key Testname: REVIEW TEST 2 5) C 52) B 53) C 54) A 55) A 56) D 57) A 58) B 59) B 60) D 6) D 62) C 63) D 64) D 65) C 66) D 67) D 68) C 69) A 70) A 7) D 72) B 73) B 74) B 75) C 76) B 77) C 78) A 79) B 80) B 8) B 82) D 83) C 84) C 85) D 86) B 87) A 88) C 89) D 90) C 9) D 92) D 93) A 94) B 95) A 96) C 97) A 98) B 99) A 00) C 22

23 Answer Key Testname: REVIEW TEST 2 0) B 02) B 03) B 04) A 05) Not a probability distribution. The sum of the P(x)'s is not, since ) Probability distribution 07) C 08) C 09) D 0) A ) D 2) C 3) B 4) A 5) A 6) D 7) D 8) D 9) D 20) A 2) D 22) C 23) A 24) B 25) A 26) C 27) A 28) A 29) C 30) A 3) B 32) A 33) A 34) D 35) C 36) D 37) D 38) B 39) A 40) D 23