Question: Make a two-way table from Table

> Imagine flipping a fair coin many times. Explain what should happen to the proportion of heads as the number of coin flips increases.

> The table shows the results of rolling a fair six-sided die. Using the table, find the empirical probability of rolling a 1 for 20, 100, and 1000 trials. Report the theoretical probability of rolling a 1 with a fair six-sided die. Compare the empirical

> Refer to Histograms A, B, and C, which show the relative frequencies from experiments in which a fair six-sided die was rolled. One histogram shows the results for 20 rolls, one the results for 100 rolls, and another the results for 10,000 rolls. Which h

> a. Explain how you could use digits from a random number table to simulate rolling a fair six-sided die. b. Carry out your simulation beginning with line 3 of the random number table in Appendix A. Repeat your simulation 5 times. c. Use your simulation t

> The accompanying table gives the 2018 population and area (in square kilometers) of five U.S. cities. See page 39 for guidance. (Source: www.citymayors.com). a. Determine and report the ranking of the population density (people per square kilometer) by

> a. Use the line of random numbers below to simulate flipping a coin 20 times. Use the digits 0, 1, 2, 3, 4 to represent heads and the digits 5, 6, 7, 8, 9 to represent tails. 11164 … 36318 … 75061 … 37674 b. Based on these 20 trials, what is the simulate

> A true/false test has 20 questions. Each question has two choices (true or false), and only one choice is correct. Which of the following methods is a valid simulation of a student who guesses randomly on each question. Explain. (Note: there might be mor

> A multiple-choice test has 30 questions. Each question has three choices, but only one choice is correct. Using a random number table, which of the following methods is a valid simulation of a student who circles his or her choices randomly? Explain. (No

> What’s the probability of rolling two numbers whose sum is 7 when you roll two dice? The table below shows the outcome of ten trials in which two dice were rolled. a. List the trials that had a sum of 7. b. Based on these data, what&aci

> What’s the probability of getting at least one six when you roll two dice? The table below shows the outcome of five trials in which two dice were rolled. a. List the trials that had at least one 6. b. Based on these data, whatâ&#

> About 8 women in 100,000 have cervical cancer (C), so P(C) = 0.00008 and P(no C) = 0.99992. The chance that a Pap smear will incorrectly indicate that a woman without cervical cancer has cervical cancer is 0.03. Therefore, P (test pos | no C) = 0.03 Wha

> According to a study published in Scientific American, about 8 women in 100,000 have cervical cancer (which we’ll call event C), so P(C) = 0.00008. Suppose the chance that a Pap smear will detect cervical cancer when it is present is 0.84. Therefore, P (

> According to the National Center for Health Statistics, 52% of U.S. households no longer have a landline and instead only have cell phone service. Suppose three U.S. households are selected at random. a. What is the probability that all three have only c

> According to a recent Gallup poll, 62% of Americans took a vacation away from home in 2017. Suppose two Americans are randomly selected. a. What is the probability that both took a vacation away from home in 2017? b. What is the probability that neither

> Assume that babies born are equally likely to be boys (B) or girls (G). Assume a woman has six children, none of whom are twins. Which sequence is more likely? Explain. Sequence A: GGGGGG Sequence B: GGGBBB

> The table gives the prison population and total population for a sample of states in 2014–15. (Source: The 2017 World Almanac and Book of Facts) Find the number of people in prison per thousand residents in each state and rank each sta

> College students who were drivers were asked if they had ever driven a car 100 mph or more (yes or no). The results are shown in the table, along with gender. a. There are two variables in the table, state what they are and whether each is categorical or

> Roll a fair six-sided die five times, and record the number of spots on top. Which sequence is more likely? Explain. Sequence A: 66666 Sequence B: 16643

> Imagine rolling a fair six-sided die three times. a. What is the theoretical probability that all three rolls of the die show a 1 on top? b. What is the theoretical probability that the first roll of the die shows a 6 AND the next two rolls both show a 1

> Imagine flipping three fair coins. a. What is the theoretical probability that all three come up heads? b. What is the theoretical probability that the first toss is tails AND the next two are heads?

> Using the table in exercise 5.53, determine whether being female is independent of choice of local TV. Explain your answer in the context of this problem.

> A 2018 Pew Research Center report asked people who got their news from television which television sector they relied on primarily for their news: local TV, network TV, or cable TV. The results were used to generate the data in the table below. a. Inclu

> When two dice are rolled, is the event “the first die shows a 1 on top” independent of the event “the second die shows a 1 on top”?

> When people fold their hands together with interlocking fingers, most people are more comfortable with one of two ways. In one way, the right thumb ends up on top, and in the other way, the left thumb is on top. The table shows the data from one group of

> Assume a person is selected randomly from the group of people represented in the table in exercise 5.41. The probability the person says “Hasn’t Gone Far Enough” given that the person is a woman is 57/100 or 57%. The probability that person is a woman gi

> Refer to the table in Exercise 5.41. Suppose a person is randomly selected from this group. Is being female independent of answering “Hasn’t Gone Far Enough”?

> Ring sizes typically range from about 3 to about 14. Based on what you know about gender differences, if we randomly select a person, are the event that the ring size is smaller than 5 and the event that the person is a male independent or associated? Ex

> The 2017 World Almanac and Book of Facts reported that in 2016, M&Ms had sales of approximately $3.48 million and that this accounted for 12.95% of the total chocolate candy sales. What was the total amount of chocolate candy sales?

> Suppose a person is chosen at random. Use your knowledge about the world to decide whether the event that the person has brown eyes and the event that the person is female are independent or associated. Explain.

> About 12% of men and 10% of women are left-handed. If we select a person at random, are the event that the person is male and the event that the person is left-handed independent or associated?

> Suppose a person is chosen at random. Use your understanding about the world of basketball to decide whether the event that the person is taller than 6 feet and the event that the person plays professional basketball are independent or associated. Explai

> Use the data in exercise 5.43 for this problem. Note: Your answers to each of these three questions should not be the same. a. Find the probability that a randomly selected person did not have a child under 18 years old, given that they said No. b. Find

> A Gallup poll asked people with and without children under 18 years old if they frequently experienced stress. The results are shown in the table below. (Source: Gallup.com) a. Find the probability that a randomly chosen person from this group said &aci

> A driving exam consists of 30 multiple-choice questions. Each of the answers is either right or wrong. Suppose that the probability of making fewer than 7 mistakes is 0.23 and the probability of making from 7 to 15 mistakes is 0.41. Find the probability

> An exam consists of 12 multiple-choice questions. Each of the 12 answers is either right or wrong. Suppose the probability a student makes fewer than 3 mistakes on the exam is 0.48 and the probability that a student makes from 3 to 8 (inclusive) mistakes

> When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Dow

> When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is up, and D means the tip is down. UU … UD … DU … DD a. What is the probability of

> A 2018 Pew poll asked U.S. adults how often they go online. The responses are shown in the table. a. What percentage of respondents go online less than once a day? b. In a group of 500 U.S. adults, how many would you expect go online almost constantly o

> The 2017 World Almanac and Book of Facts reported that the U.S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels. How many personal care aide

> A 2018 Marist poll asked respondents what superpower they most desired. The distribution of responses are shown in the table. a. What percentage of those surveyed wanted to be able to fly or teleport? b. If there were 1200 people surveyed, h

> Political science researchers often classify voters according to their political party preference, using four categories: Democrat, Republican, Other political parties (including Libertarians and Independents, for example), and Decline to State/No Party

> A college conducted a student survey to learn about commute patterns. Students were given a choice of three options: car, bus, or other. When looking at the survey results, 42% of students responded “car,” and 23% responded “bus.” Assuming all students a

> One of the authors did a survey to determine the effect of students changing answers while taking a multiple-choice test on which there is only one correct answer for each question. Some students erase their initial choice and replace it with another. It

> Assume that the only grades possible in a history course are A, B, C, and lower than C. The probability that a randomly selected student will get an A in a certain history course is 0.18, the probability that a student will get a B in the course is 0.25,

> Roll a fair six-sided die. a. What is the probability that the die shows an even number or a number less than 4 on top? b. What is the probability the die shows an odd number or a number greater than 4 on top?

> Roll a fair six-sided die. a. What is the probability that the die shows an even number or a number greater than 4 on top? b. What is the probability the die shows an odd number or a number less than 3 on top?

> Refer to the table in exercise 5.19. Suppose we select one person at random from this group. Name a pair of events that are not mutually exclusive.

> Referring to the table given in exercise 5.19, name a pair of mutually exclusive events that could result when one person is selected at random from the entire group.

> Suppose a person is selected at random from a large population. a. Label each pair of events as mutually exclusive or not mutually exclusive. i. The person has traveled to Mexico; the person has traveled to Canada. ii. The person is single; the person is

> Suppose a person is selected at random from a large population. a. Label each pair of events as mutually exclusive or not mutually exclusive. i. The person has traveled to Mexico; the person has traveled to Canada. ii. The person is single; the person is

> Use the data in exercise 5.23 to answer the following: a. What is the probability that a randomly selected person is a woman and said “more.” b. What is the probability that a randomly selected person is a woman or said “more” (or both)?

> A Pew Research poll asked respondents to fill in the blank to this question: Compared to other industries there is _____ discrimination against women in the tech industry. Responses separated by gender are shown in the following table. The re

> Use the data in exercise 5.21 to answer the following: a. If a person is chosen randomly from this group, what is the probability that the person is an Independent and said “Yes”? b. If a person is chosen randomly from this group, what is the probability

> A Gallup poll asked a sample of voters if marijuana should be legalized. Voters’ responses and political party affiliation are in the table. (Source: Gallup.com) a. If a person is randomly selected from this group, find the probability

> The Pew Research Center asked a sample of adults if they had read a book in any format in the previous 12 months. The results are shown in the table. (Source: Pewinternet.org) a. If a person is randomly selected from this group, find the probability of

> The Gallup poll asked respondents if they had taken a vacation in the last year. The respondents were separated into two groups: those who had graduated from college and those who had not. Numbers in the table are based on sample sizes of 250 in each gro

> If one card is selected from a well-shuffled deck of 52 cards, what is the probability that the card will be a club OR a diamond OR a heart? What is the probability of the complement of this event? (Refer to exercise 5.11 for information about cards.)

> What is the probability that a baby will be born on a Friday OR a Saturday OR a Sunday if all the days of the week are equally likely as birthdays?

> The sample space shows all possible sequences of child gender for a family with 3 children. The table is organized by the number of girls in the family a. How many outcomes are in the sample space? b. If we assume all outcomes in the sample space are eq

> Make a two-way table from Table 1A for gender and living situation. Put the labels Male and Female across the top and Dorm and Commuter on the side and then tally the data. See page 38 for guidance. a. Report how many are in each cell. b. Find the sums

> The sample space given here shows all possible sequences for tossing a fair coin 4 times. The sequences have been organized by the number of tails in the sequence. a. How many outcomes are in the sample space? b. Assuming all of the outcomes in the samp

> Consider a multiple-choice test with a total of four possible options for each question. a. What is the probability of guessing correctly on one question? (Assume that there are three incorrect options and one correct option.) b. What is the probability

> a. On a true/false quiz in which you are guessing, what is the probability of guessing correctly on one question? b. What is the probability that a guess on one true/false question will be incorrect?

> Refer to exercise 5.11 for information about cards. If you draw one card randomly from a standard 52-card playing deck, what is the probability that it will be the following: a. A black card b. A diamond c. A face card (jack, queen, or king) d. A nine e.

> There are four suits: clubs ( ), diamonds ( ), hearts ( ), and spades ( ), and the following cards appear in each suit: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. The jack, queen, and king are called face cards because they have a drawing of a f

> For each of the values, state whether the number could be the probability of an event. Give a reason for your answers. a. 99% b. 0.9 c. 9.9 d. 0.0099 e. -0.90

> For each of the values, state whether the number could be the probability of an event. Give a reason for your answers. a. 0.26 b. -0.26 c. 2.6 d. 2.6% e. 26

> A recent Pew Research poll asked respondents to fill in the blank to this question: “The country ____ when it comes to giving equal rights to women” with one of three choices. The results are shown in the following t

> A person is selected randomly from the entire group whose responses are summarized in the table for exercise 5.41. We want to find the probability that the person selected is a male who said “hasn’t gone far enough.” a. Which of the following statements

> The scatterplot shows the median weekly earning (by quarter) for men and women in the United States for the years from 2005 through 2017. The correlation is 0.974. (Source: Bureau of Labor Statistics) a. Use the scatterplot to estimate the median weekly

> Find the frequency, proportion, and percentage of brown-haired people in Table 1A on page 31.

> The graph shows the heights of mothers and daughters. (Source: StatCrunch: Mother and Daughter Heights.xls. Owner: craig_slinkman) a. As the data are graphed, which is the independent variable and which the dependent variable? b. From the graph, approxi

> The scatterplot shows the median starting salaries and the median mid-career salaries for graduates at a selection of colleges. (Source: The Wall Street Journal, Salary increase by salary type, http://online.wsj.com/public/resources/documents/info-Salari

> The following table shows the number of text messages sent and received by some people in one day. (Source: StatCrunch: Responses to survey how often do you text? Owner: Webster West. A subset was used.) a. Make a scatterplot of the data, and state the s

> The table shows the Earned Run Average (ERA) and WHIP rating (walks plus hits per inning) for the top 40 Major League Baseball pitchers in the 2017 season. Top pitchers will tend to have low ERA and WHIP ratings. (Source: ESPN.com) a. Make a scatterplot

> The following table give the Rotten Tomatoes and Metacritic scores for the several movies produced in 2017. Both of these ratings systems give movies a score using a scale from 0 to 100. (Source: vox.com) a. Use technology to make a scatterplot using Rot

> The following table gives the number of millionaires (in thousands) and the population (in hundreds of thousands) for the states in the northeastern region of the United States in 2008. The numbers of millionaires come from Forbes Magazine in March 2007.

> The following table gives the distance from Boston to each city and the cost of a train ticket from Boston to that city for a certain date. a. Use technology to produce a scatterplot. Based on your scatterplot do you think there is a strong linear relat

> The following table gives the distance from Boston to each city (in thousands of miles) and gives the time for one randomly chosen, commercial airplane to make that flight. Do a complete regression analysis that includes a scatterplot with the line, inte

> The graph shows the monthly premiums for a 10-year $250,000 male life insurance policy by age of purchase. For example, a 20-year-old male could purchase such a policy for about $10 per month, while a 50-year-old male would pay about $24 per month for th

> The following graph shows the average car insurance premium for a sample of ages. (Source: valuepenguin.com) a. Explain what the graph tells us about insurance rates for drivers at different ages. Explain why insurance rates might follow this trend. b. W

> Find the frequency, proportion, and percentage of women in Table 1A on page 31.

> The following figure shows a scatterplot with a regression line. The data are for the 50 states. The predictor is the percentage of adults who smoke. The response is the percentage of high school students who smoke. (The point in the lower left is Utah.)

> The following figure shows a scatterplot with the regression line. The data are for the 50 states. The predictor is the percentage of smoke free homes. The response is the percentage of high school students who smoke. The data came from the Centers for D

> Indicate which variable you think should be the predictor (x) and which variable should be the response (y). Explain your choices. a. A researcher measures subjects’ stress levels and blood pressures. b. Workers who commute by car record the length of th

> Indicate which variable you think should be the predictor (x) and which variable should be the response (y). Explain your choices. a. You have collected data on used cars for sale. The variables are price and odometer readings of the cars. b. Research is

> The figure shows a scatterplot of the height of the left seat of a seesaw and the height of the right seat of the same seesaw. Estimate the numerical value of the correlation, and explain the reason for your estimate.

> The following graph shows the winning percentages in singles matches and doubles matches for a sample of male professional tennis players. (Source: tennis.com) a. Based on this scatterplot, would you say there is a strong linear association between these

> The scatterplot shows a solid blue line for predicting weight from age of men; the dotted red line is for predicting weight from age of women. The data were collected from a large statistics class. a. Which line is higher and what does that mean? b. Whic

> The correlation between height and armspan in a sample of adult women was found to be r = 0.948. The correlation between arm span and height in a sample of adult men was found to be r = 0.868. Assuming both associations are linear, which association—the

> Measurements were made for a sample of adult men. Assume that the association between their hand length and foot length is linear. Output for predicting foot length from hand length is provided from several different statistical technologies. a. Report t

> Measurements were made for a sample of adult men. A regression line was fit to predict the men’s arm span from their height. The output from several different statistical technologies is provided. The scatterplot confirms that the assoc

> a. A hospital employs 346 nurses, and 35% of them are male. How many male nurses are there? b. An engineering firm employs 178 engineers, and 112 of them are male. What percentage of these engineers are female? c. A large law firm is made up of 65% male

> The computer output shown below is for predicting foot length from hand length (in centimeters) for a group of women. Assume the trend is linear. Summary statistics for the data are shown in the table below. a. Report the regression equation, using the

> TI-84 output from a linear model for predicting arm span (in centimeters) from height (in inches) is given in the figure. Summary statistics are also provided. To do parts a through c, assume that the association between arm span and height is linear.

> The scatterplot shows the size (in square feet) and selling prices for homes in a certain zip code in California. (Source: realtor.com) a. Use the graph to estimate the selling price of a home with 2000 square feet. b. Use the equation to predict the sel

> If there is a positive correlation between number of years studying math and shoe size (for children), does that prove that larger shoes cause more studying of math or vice versa? Can you think of a confounding variable that might be influencing both of

> Answer the questions using complete sentences. a. An economist noted the correlation between consumer confidence and monthly personal savings was negative. As consumer confidence increases, would we expect monthly personal savings to increase, decrease,

> What is an influential point? How should influential points be treated when doing a regression analysis? b. What is the coefficient of determination and what does it measure? c. What is extrapolation? Should extrapolation ever be used? Answer the questio

> Assume that in a sociology class, the teacher gives a midterm exam and a final exam. Assume that the association between midterm and final scores is linear. Here are the summary statistics: a. Find and report the equation of the regression line to predi