Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Louise wears an outfit everyday that consists of one top (shirt, T-shirt, or blouse), one bottom (pants or skirt) and one scarf. Her wardrobe consists of a tan skirt, a pair of black pants, T-shirts, one silk blouse, 1 buttondown shirt, and a set of 3 scarves. How many different outfits can Louise put together? a. 3 outfits c. outfits b. 9 outfits d. 4 outfits. There are 7 singers competing at a talent show. In how many different ways can the singers appear? a. 49 ways c. 70 ways b. 4 ways d. 5,040 ways 3. Joel owns 1 shirts and is selecting the ones he will wear to school next week. How many different ways can Joel choose a group of 5 shirts? (Note that he will not wear the same shirt more than once during the week.) a. 79 ways c. 95,040 ways b. 17 ways d. 0 ways 4. An experiment consists of rolling a number cube. What is the probability of rolling a number greater than 4? Express your answer as a fraction in simplest form. a. c. b. d. 5. A person is selected at random. What is the probability that the person was not born on a Monday? Express your answer as a percent. If necessary, round your answer to the nearest tenth of a percent. a. c. b. d.. In a recent survey of 5 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample of respondents from this survey, exactly favor the proposed regulation and 4 oppose it? Express your answer as a decimal. a. 0. c. 0.0 b. 0.15 d. 0.05 7. An experiment consists of spinning a spinner. The table shows the results. Find the experimental probability that the spinner does not land on red. Express your answer as a fraction in simplest form. Outcome Frequency red purple 11 yellow 13 a. 1 c. 34 b. 1 d. 17 5 17 13 34 8. A grab bag contains 3 football cards and 7 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal. a. 0.49 c. 0.09 b. 0.3 d. 0.1
9. A bag contains hair ribbons for a spirit rally. The bag contains 3 black ribbons and 17 green ribbons. Lila and Jessica are drawing from the bag at random. Explain why the events are dependent. Then find the indicated probability. Lila selects a black ribbon and then Jessica selects a green ribbon. Express your answer as a fraction in simplest form. a. The events are dependent because P(Jessica green) is different when Lila has already removed one ribbon from the bag. 51 380 b. The events are dependent because P(Jessica green) is the same when Lila has already removed one ribbon from the bag. 1 95 c. The events are dependent because P(Jessica green) is different when Lila has already removed one ribbon from the bag. d. The events are dependent because P(Jessica green) is the same when Lila has already removed one ribbon from the bag.. The table shows the distribution of the labor force in the United States in the year 000. Suppose that a female worker is selected at random. Find the probability that the female works in the Industry field. Express your answer as a decimal, and round to the nearest thousandth. Agriculture Industry Services Male 3,13,000 5,05,000 50,11,000 Female 7,000 8,004,000 57,3,000 a. 0.141 c. 0.11 b. 0.4 d. 0.31 11. A grab bag contains 8 football cards and basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent or dependent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal. a. independent; 0.18 c. dependent; 0.4 b. dependent; 0.04 d. independent; 0.1 1. What is the least number of people such that there is a 5% chance that two of the people have the same birthday? Assume there are 35 days in each year. a. 73 people c. 5 people b. 9 people d. 7 people 13. Randa is playing a board game. The players take turns rolling a pair of number cubes. On her next turn, Randa must roll a 5 to win the game, but if she rolls doubles, she gets an extra turn. Explain why the events roll a 5 and roll doubles are mutually exclusive. If the probability of rolling a 5 is and the probability of rolling doubles is, what is the probability that Randa rolls either a 5 or doubles on her next turn? Express your answer as a fraction in simplest form. a. The events are mutually exclusive because you only roll one cube to get a 5. 17 190 51 400 c. The events are mutually exclusive because you only roll one cube to get a 5. b. The events are mutually exclusive because. d. The events are mutually exclusive because the sum of a double roll can never equal 5. 14. Find the probability of rolling a 5 or an odd number on a number cube. Express your answer as a fraction in simplest form. a. c. b. d. 1
15. In a survey about a change in public policy, 0 people were asked if they favor the change, oppose the change, or have no opinion about the change. Of the 0 people surveyed, 50 are male and 37 oppose the change in policy. Of the 37 who oppose the change, 5 are female. What is the probability that a randomly selected respondent to the survey is a man or opposes the change in policy? Express your answer as a percent. a. 5% c. 75% b. 0% d. 50% 1. A group of 4 students went to drink pearl tea and study at a local tea shop. The shop offers 1 different flavors of pearl tea. What is the probability that at least students ordered the same flavor? Express your answer as a decimal, and round to the nearest ten thousandths. a. 0.3333 c. 0.579 b. 0.471 d. 0.17 17. Constellations are made up of more than one star. The table shows the number of stars that make up various constellations. Find the mean, median, and mode of the data set. Constellation Number Number of Stars in Constellation Constellation 1 3 Constellation 30 Constellation 3 37 Constellation 4 3 Constellation 5 48 a. mean = 4.3; median = 30; c. mean = 3.; median = 30; mode = 9 mode = 3 b. mean = 3.; median = 37; d. mean = 4.3; median = 37; mode = 3 mode = 3 18. The table shows the probability distribution for the number of people who contract a disease in a scientific study. Find the expected number of people who contract the disease. Round your answer to the nearest tenth. Number of People 3 4 5 Probability 0.0 0.3 0.88 0.153 0.0384 a. 3.5 b..5 c. 4.0 d. 3.0 19. The data {1, 5, 8, 5, 1} represent a random sample of the number of days absent from school for five students at Monta Vista High. Find the mean and the standard deviation of the data. a. The mean is 4.4, and the standard deviation is about.7. b. The mean is 4, and the standard deviation is about 7.. c. The mean is 4, and the standard deviation is about.8. d. The mean is 0, and the standard deviation is about 7.. 0. The number of calls received by a technical support center during 18 randomly selected days is listed. Identify the outlier, and describe how it affects the mean and the standard deviation. 50 57 77 53 7 51 88 8 70 4 9 88 98 5 14 8 a. The outlier is 88. The outlier in the data set causes the mean to decrease from about 18. to about 13.7 and the standard deviation to increase from about.3 to about 9.4. b. The outlier is 88. The outlier in the data set causes the mean to increase from about.3 to about 9.4 and the standard deviation to decrease from about 18. to about 13.7. c. The outlier is 14. The outlier in the data set causes the mean to decrease from about 9.4 to about.3 and the standard deviation to increase from about 13.7 to about 18.. d. The outlier is 14. The outlier in the data set causes the mean to decrease from about 18. to about 13.7 and the standard deviation to increase from about.3 to about 9.4. 1. Which of the following is true about these two data sets?
{71, 71, 75, 77, 83, 91, 9} and {73, 75, 7, 7, 83, 87, 90} a. The medians are equal. c. The means are equal. b. The ranges are equal. d. The variances are equal.. Students randomly receive 1 of 4 versions (A, B, C, D) of a math test. What is the probability that at least 3 of the 5 students tested will get version A of the test? Express your answer as a percent, and round to the nearest tenth. a. 8.8% c..4% b. 74.7% d. 1.% 3. Samuel Pepys, whose diary provides an eyewitness account of the Great Fire of London in 1, wrote to Sir Isaac Newton about a game involving three players rolling dice. He asked which of the following was more likely: 1. Player A rolls six dice and rolls at least one six.. Player B rolls twelve dice and rolls at least two sixes. 3. Player C rolls eighteen dice and rolls at least three sixes. If the probability that Player A rolls at least one six is 0.51, what is the probability that Player C rolls at least three sixes? Express your answer as a decimal, and round to the nearest ten thousandth. a. 0.407 c. 0.5973 b. 0.51 d. 0.5000 4. A manufacturer finds that the life expectancy of its best-selling model of dishwashers is 11 years and the standard deviation is 1 year. What percent of dishwasher models will last from 9 to 13 years? a. About 47.5% c. About 95% b. About 8% d. About 34% 5. Is the data set the length of a player s home run quantitative or qualitative? If it is quantitative, is it discrete or continuous? a. qualitative c. quantitative, continuous b. quantitative, discrete d. neither. Draw a histogram for the intervals 1-14, 15-17, 18-0, and 1-3 using the following data: 15, 15, 0, 15, 1, 0, 18, 13, 0, 17,, 1, 17, 15, 14, 15, 3, 15, 1, 1 a. c. 14 14 1 8 4 1 8 4 1-14 15-17 18-0 1-3 1-14 15-17 18-0 1-3 b. d. 14 1 8 4 14 1 8 4 1-14 15-17 18-0 1-3 1-14 15-17 18-0 1-3 7. Is the shape of the distribution best described as uniform, symmetric, skewed right, or skewed left?
Pet Preferences in Grade 11 0.5 0. 0.15 0.1 0.05 Dog Cat Snake Rabbit Mice a. uniform c. skewed left b. symmetric d. skewed right 8. The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers. 5, 5, 5, 5, 11, 0, 5, 1 a. mean: 5, median:.5, mode: 19 c. mean: 19, median:.5, mode: 5 b. mean: 19, median: 5, mode:.5 d. mean:.5, median: 19, mode: 5 9. Find the sample standard deviation and the population standard deviation of the data set. 4, 49,, 3,, 3, 54, 3, 4,, 30, 3, 0, 49, 5 a. c. b. d. 30. In a clinical trial, a drug used to reduce fever caused side effects in % of patients who took it. Two patients were selected at random. Find the probability that neither of the patients had side effects. a. 0.04 c. 0.0 b. 0.904 d. 0.0004 31. A bag contains yellow, red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. What is the probability that the random variable has an output of? a. 1 c. 1 3 9 b. 1 d. 1 11 3. A bag contains 5 yellow, red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable. a. 0.7 c. 0.7 b. 1.07 d. 0.53 33. The table shows the beverage preferences of 50 shoppers at the mall. Beverage Survey Beverage Number of Shoppers A 15 B 1 C 9 D E 8 a. Write a probability distribution of the experiment.
b. Based on your distribution, what is the probability that one shopper, selected at random prefers either Beverage A or Beverage C? a. a. b. 0.5 b. a. b. 0.5 c. a. b. 0.48 d. a. b. 0.48 34. Jessica cannot remember the correct order of the six digits in her ID number. She does remember that the ID number contains the digits 1, 0, 7, 3, 9, 5. What is the probability that the first five digits of Jessica s ID number will all be odd numbers? a. 1 c. 5 b. 1 d. 1 5 35. There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,89 ways b. 1,08, ways d. 13,3,080 ways 3. The heights of 500 students at a local school were recorded and found to be approximated by the normal curve below. Which answer could represent the mean and standard deviation for these data? 0 3 9 7 75 78 a. 9, c. 9, 3 b. 7, 4 d. 0, 3 37. In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54. a. 4.7 c. 4.7 b. 18.0 d. 13.33 38. Use the graph of the function f to determine the given limit.
y x a. 4 c. b. 7 d. Does not exist 39. Find for: a. b. a. a. c. a. b. 1 b. 7 b. a. 1 d. a. 7 b. 1 b. 1 40. Use the given facts about the functions to find the indicated limit. a. 3 c. 7 b. 5 d. Does not exist 41. Use the given facts about the functions to find the indicated limit. a. 1 c. b. 15 d. Does not exist 4. Use the given facts about the functions to find the indicated limit. a. 3 c. 11 b. d. 9 43. Find the limit, if it exists. a. 1 c. 4 b. 7 d. None of these Numeric Response 1. Sheila visits the dentist once per year. After her check-up, she may choose 1 toy out of 8 different toys. Over years, how many ways can Sheila choose her toys if she chooses a different toy each year?. On a field trip, 4 students bring bag lunches. On the way there, the bag lunches get mixed up. What is the probability that exactly 1 student gets his or her own bag lunch back?
3. In a clothing store, a jacket has a 19% chance of not having a label. Out of 11 randomly selected jackets, what is the probability that no more than do not have a label? Express your answer as a decimal, and round to the nearest hundredth. Short Answer 1. Identify the population and the sample. Lena wants to open a new restaurant in a mall and needs to determine what kind of food to serve to attract the most customers. Out of 0 mall visitors, 00 are asked their food preference.. Make a stem-and-leaf plot for the following data. 59, 38, 33,, 44, 35, 3, 47, 45, 4, 7, 4, 34, 30, 3 3. The table gives the preferred type of pet for 0 people. Pet Frequency Relative Frequency Dog 4 Cat 17 Snake 0 Rabbit 18 Mice 1 a. Complete the table to show the relative frequency for each category. b. Create a bar graph for the data with the vertical axis showing the frequencies. c. Create a pie chart for the data. 4. Is the shape of the distribution best described as uniform, symmetric, skewed right, or skewed left? Test Scores Precalculus 5 0 1, 1, 4, 7, 8 7 0, 0,,, 3, 5, 8, 9 8 1, 4, 4,, 9 1 5. Find the median, mode, and range of the data in the stem-and-leaf plot below. Stem Leaves 1 1 1 3 9 9 9 9 3 5 7 7 4 0. The Outlanders Club keeps track of the mean and median ages of its members. The ages of the six members are, 18, 4,, 38, and 34. Which will increase more, the mean or the median, when a new member who is 5 years old joins? 7. Which measure of central tendency is preferred for this data set? Why? 5, 40, 58, 41, 53, 55, 4, 45, 0, 47, 51, 5, 43, 44, 48, 54, 0, 50, 57, 40,4, 47, 49, 59, 44, 50, 4, 53, 95, 41 8. Laura is playing a card game with her friend. She will draw two cards from those pictured. 7 8 5
a. List the sample space for all possible -card combinations Laura could make. b. Find the probability that both cards are even. 9. The possible outcomes for a spinner has the following probabilities. Suppose it is spun 5 times. a. What is the probability that all five outcomes will be red? b. What is the probability that none of the outcomes is yellow?. Find the expected value of the random variable with the given probability distribution. 11. The table shows the batting records for members of a softball team. Use the table to find each experimental probability. a. the probability that Juanita gets a hit b. the probability that Su does not get a hit Player Number of hits Times at bat Sherise 17 Lena 7 11 Su 14 4 Juanita 0 31 1. The life expectancy (in hours) of a fluorescent tube is normally distributed with a mean 8000 and a standard deviation 00. Find the probability that a tube lasts for more than 100 hours. 13. Use the graph of the function f to determine the given limit. y x 14. Use the given facts about the functions to find the indicated limit.
15. Use the given facts about the functions to find the indicated limit. 1.Find for: a. b. 17.Find the limit, if it exists. 18. Use the given facts about the functions to find the indicated limit. 19. : 0. The infinite limit of 1.Use the given graph of to state the value of each quantity, if it exists. If does not exist, explain why. Y c) d) e) x