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- A car dealership sells three different models of trucks: the Rugged Model, the Sport Model, and the Heavy Duty Model. The dealership recently surveyed their new truck owners and found that 65 % of the Rugged Model owners, 76 % of the Sport Model owners, and 81 % of the Heavy Duty Model owners were satisfied with their purchase. Of the new truck owners, 20 % had purchased the Rugged Model, 30 % had purchased the Sport Model, and the remaining 50 % had purchased the Heavy Duty Model. Find the percent of new truck owners who were not satisfied with their purchase.The Party of Nonvoters From past elections, nonvoters are those who are either not registered to vote or are considered unlikely to vote in an upcoming election. Nonvoters are very different demographically from likely voters.Nonvoters are more racially and ethnically diverse. 43% of those who are not likely to cast a ballot are Hispanic, African or other racial and ethnic minorities, roughly double the percentage amoung likely voters(22%) (Source: Pew Research Center, October, 2014, "The Party of Nonvoters"). Suppose you interview 10 people who are considered nonvoters. Round answers to 4 decimal places.a.) What is the probability that 5 of them are an ethnic minority? b.) What is the probability that more than 8 are an ethnic minority? c.) What is the probability that at least 8 are not an ethnic minority? d.) What is the probability that fewer than 5 are not an ethnic minority?The Las Vegas Review-Journal (R-J) posts an article on their website reporting on a poll they conducted for the upcoming Senate election. Their poll asked likely Nevada voters who they intend to vote for. The results were: Catherine Cortez Masto with 45%, Adam Laxalt with 41%, 14% undecided, and they report that their poll has a +/- 3.5 percentage point margin of error. The article's headline is "Cortez-Masto Leads Laxalt by 4 Points." Is the R-J right? That is, can we be reasonably sure (95% confident) that Cortez-Masto really is ahead of Laxalt? if we had the raw data we could just load it into R and do a quick difference of means test, but we don't need the actual data to figure it out in this case. In your answer, address the following: (1) Is the R-J probably right that Cortez-Masto leads Laxalt? (2) how you came to that conclusion?
- Students at Bell Middle school are allowed to wear two different colors of uniform shirts a survey of students at the school shows that a student is three times more likely to wear a red shirt than a white shirt if a classroom has 28 students how many students are likely to be wearing red and how many are likely to be wearing whiteIn a sport club, there are 70% males’ members and 30% females’ members. 60% of males play football and 40% of them play other sports. 30% of females play football and 70% play other sports. A. What is the percentage of all members who play football?B. What is the percentage of males’ members among all members who play football?C. What is the percentage of members who are males but don’t play football?Studies show that about 18 percent of all businesses in the United States are minority-owned.Brian lives in Centerville, a town with a population of 25,000 and 200 businesses. Assuming that the national percentage holds true for the businesses in Centerville, how many of these are minority-owned?
- A study finds 3/5 of people prefer watching basketball to football. What percent of people prefer watching basketball to footballA researcher surveys 200 randomly selected college students to determine the number of education majors and mathematics majors. 16% of the students surveyed are education majors and 6% of the students surveyed are mathematics majors. 2% of the students are both education majors and mathematics majors. What percentage of the students surveyed are education majors or mathematics majors?A company uses an automated process in checking for defective electronic devices that they manufacture. For devices that are defective, 98% of them will be labeled as defective. Three percent of the devices that are okay (not defective) will be labeled as defective. Four percent of the devices made by this company are defective. _____________________ percent of devices that are labeled as defective are not defective.
- A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 60% regularly use the golf course, 48% regularly use the tennis courts, and 10% use neither of these facilities regularly. What percentage of the 600 use at least one of the golf or tennis facilities? Select one: A. 98% B. 90% C. 18% D. 10%A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance. The proportion of students that like trance music but not dubstep is: Option 1: 10% Option 2: 5% Option 3: 15% Option 4: 20%According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work. Twenty-five percent say the most important advice is to have good financing ready. Nineteen percent say having a good plan is the most important advice; 18% say studying the industry is the most important advice; and 18% list other advice. Suppose 14 small business owners are contacted, and assume that the percentages hold for all small-business owners.a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?c. What is the probability that exactly five owners would say having good financing ready is the most important advice?d. What is the expected number of owners who would say having a good plan is the most important…