MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/202, Exams of Mathematics

Download MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/202 and more Exams Mathematics in PDF only on Docsity! MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Week 4 Homework Questions Probability 1. Which of the pairs of events below is dependent? Select the correct answer below: drawing a 7 and then drawing another 7 with replacement from a standard deck of cards rolling a 1 and then rolling a 6 with a standard die rolling a 3 and then rolling a 4 with a standard die drawing a heart and then drawing a spade without replacement from a standard deck of cards 2. Identify the option below that represents dependent events. Select the correct answer below: drawing a face card and then drawing a 3 without replacement from a standard deck of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and drawing another heart with replacement from a standard deck of cards 3. Which of the following shows mutually exclusive events? Select the correct answer below: rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing drawing a 7 and then drawing another 7 with replacement from a standard deck of cards 4. Which of the pairs of events below is mutually exclusive? Select the correct answer below: drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and then drawing a spade without replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing • Give your answer as a fraction. Provide your answer below: 5/13 10.Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high- difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is the probability that Boris is assigned a moderate-difficulty question first? • Give your answer as a fraction. Provide your answer below: 7/15 11.A spinner contains the numbers 1 through 40. What is the probability that the spinner will land on a number that is not a multiple of 6? Give your answer as a fraction. Provide your answer below: 34/40 12.A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 4? Provide your answer below: 38/50 13. Identify the parameters p and n in the following binomial distribution scenario. The probability of winning an arcade game is 0.718 and the probability of losing is 0.282. If you play the arcade game 20 times, we want to know the probability of winning more than 15 times. (Consider winning as a success in the binomial distribution.) p=0.282, MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing n=20 p=0.718, n=15 p=0.718, n=20 p=0.282, n=15 (The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is winning a game, so p=0.718. The total number of trials, or games, is n=20) 14.A weighted coin has a 0.55 probability of landing on heads. If you toss the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal places if necessary.) MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Provide your answer below: 0.170 (This probability can be found using the binomial distribution with success probability p=0.55 and 14 trials. To find the probability that exactly 9 of the tosses are heads, use a calculator or computer: P(X=9)=binompdf(14,0.55,9)≈0.170. 15. Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.546 and without a popcorn coupon is 0.454. If you buy 27 movie tickets, we want to know the probability that exactly 15 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.) Select the correct answer below: 0.152 0.454 0.546 0.848 16. A softball pitcher has a 0.64 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what is the probability that exactly 13 of them are strikes? • Round your answer to three decimal places. 0.184 This probability can be found using the binomial distribution with success probability p=0.64 and 20 trials. To find the probability that exactly 13 of the pitches are strikes, use a calculator or computer: P(X=13)=binompdf(20,0.64,13)=0.184. 17. Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.429 probability of making a free throw and a 0.571 probability of missing. If the player shoots 20 free throws, we want to know the probability MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing is 0.38. The total number of repeated and identical events or trials is denoted by n. In this scenario, Jack bowls a total of 20 times, so n=20). 20.The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6matches. What is the mean for the number of matches that they win in the tournament? Select the correct answer below: 46 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 4 20 30 In this scenario, the number of trials is 30 (the total number of matches played), which is n. The probability of a success (winning a match) is 46. So, the mean of the binomial distribution B(30,46) is: μ=(30)(46)=20 21.Using the same scenario, what is the standard deviation for the number of matches that they win in the tournament? The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6matches. Select the correct answer below: 26 6.67−−−−√ 6.67 20−−√ 20 40 The standard deviation of a binomial distribution is the square root of the variance. The variance is the product of n, the total number of repeated trials or events, p, the probability of a success, and q, which is (1−p). variance = σ2=np(1−p) standard deviation = variance−−−−− −−√ In this scenario, the number of trials is 30 (the total number of matches played), which is n. The probability of a success (winning a match) is 46. So, the value for (1−p) is 26. The variance is the product of these values. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing variance = σ2=(30)(46)(26) So the variance is approximately 6.67, and the standard deviation is the square root of that, 6.67−−−−√ 22. Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.441 probability of landing on heads and a 0.559 probability of landing on tails. If you toss the coin 19 times, we want to know the probability of getting heads more than 5 times. (Consider a toss of heads as success in the binomial distribution.) Select the correct answer below: 5 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Participants stopped smoking did not stop smoking Tota l given e-cigarette 11 21 32 not given e- cigarette 0 16 16 Total 11 37 48 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Provide your answer below: .951 27. A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes? (Round your answer to 3 decimal places if necessary.) Provide your answer below: .323 28. A 2014 study by researchers at the University College Antwerp and the University of Leuven showed that e-cigarettes are effective at reducing cigarette craving. Participants were separated into two groups. One group was given e-cigarettes and the other was told to not smoke e-cigarettes. Two months later, researchers observed how many participants had stopped smoking cigarettes. The following table shows approximate numbers. According to the table, what is the probability that a randomly chosen participant did not stop smoking, given that the participant received an e-cigarette? MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Select the correct answer below: 21/48 11/48 11/32 16/16 0/16 21/32 29.Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the relative risk of flying for those birds that have long beaks? Round your answer to two decimal places. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 31% MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Flies Does not fly Total Long beak 11 3 14 Not a long beak 7 13 20 Total 18 16 34 Provide your answer below: 2.24 The probability that a bird with long beak flies is 11/14. The probability that a bird not having a long beak flies is 7/20. The relative risk is then 11/14 / 7/20≈2.24. This means that in this survey, birds having long beaks were 224% as likely to fly as birds not having long beaks. 30.Given the contingency table below, determine the marginal distribution of breakfast and lunch. Round your answer(s) to the nearest whole number. Select all that apply. Food Bread Rice Total Breakfast 122 189 311 Lunch 420 263 683 Total 542 452 994 Select all that apply: 55% MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Provide your answer below: 35 33.Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the odds ratio for birds that fly having long beaks against birds that do not fly having long beaks? Round your answer to two decimal places. Flies Does not fly Total Long beak 11 3 14 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Not a long beak 7 13 20 Total 18 16 34 Provide your answer below: 6.81 (The odds that a bird that flies also has long beak are 11 to 7. The odds that a bird that does not fly also has long beak are 3to 13. The odds ratio is then 11/17 / 3/13≈6.81. In this study, birds that fly had almost 7 times the odds of also having long beaks as the birds that do not fly.) 34.Fill in the following contingency table and find the number of students who both watch comedies AND watch dramas. Students Watch dramas Do not watch dramas Total Watch comedies 16 25 41 Do not watch comedies 38 27 65 Total 54 52 106 Provide your answer below: 16 35. Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the odds ratio for married people having children against unmarried people having children? Round your answer to two MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing decimal places. Children No Children Total Married 97 35 132 Not Married 68 71 139 Total 165 106 271 The odds that a married couple has children are 97 to 35. The odds that an unmarried couple has children are 68 to 71. The odds ratio is then 97/35 ÷ 68/71 ≈ 2.89. In this study, people who are married had about 3 times the odds of having children as people who are not married. 36. Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 5.51; The advertisement was successful. 2.35; The advertisement was successful. 1.79; The advertisement was successful. 0.56; The advertisement was not successful. 0.43; The advertisement was not successful. 0.18; The advertisement was not successful. (The odds that a student targeted by the advertisement registers to vote is 103 to 36. The odds that a student not targeted by the advertisement registers to vote is 78 to 64, or 39 to 32. The odds ratio is then 103/36 ÷ 39/32≈2.35. In this situation, students targeted by the advertisement had more than twice the odds of registering to vote as students not targeted by the advertisement. It would appear that the advertisement was successful) 38. Researchers wanted to study if wearing cotton clothes is related to depression. They surveyed a large group of people. The data are shown in the contingency table below. What is the relative risk of wearing cotton clothes for those who are depressed? Round your answer to two decimal places. Depressed Not Depressed Total Cotton 122 189 311 Not Cotton 420 263 683 Total 542 452 994 Answer: .54 (The probability that someone who is depressed wears cotton clothes is 122542. The probability that someone who is not depressed wears cotton clothes is 189452. The relative risk is then MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 122542189452≈0.54. This means that in this survey, depressed people were 54% as likely to wear cotton clothes as people who are not depressed) 39. Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of flying for those who are afraid of heights? Round your answer to two decimal places. Afraid of heights Not afraid of heights Total Afraid of flying 76 33 109 Not afraid of flying 82 370 452 Total 158 404 561 Provide your answer below: 5.87 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing (The probability that someone with a fear of heights is afraid of flying is 76/158=38/79. The probability that someone who does not have a fear of heights is afraid of flying is 33/403. The relative risk is then 38/79 /v 33/403≈5.87. This means that in this survey, people with a fear of heights were 587% as likely to have a fear of flying as people without a fear of heights. 40. A study of drivers with speeding violations in the last year and drivers who use cell phones produced the following fictional data: Violatio n No violation Tota l Cell phone user 25 280 305 Not a cell phone user 45 405 450 Total 70 685 755 Find the probability that a driver received a violation, given that the driver is a cell phone user. Select the correct answer below: 280/305 70/755 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Provide your answer below: 14 44.Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the odds ratio for people having children to be married against people not having children to be married? Round your answer to two decimal places. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Children No Children Total Married 97 35 132 Not Married 68 71 139 Total 165 106 271 Provide your answer below: 2.89 (The odds that people having children are married are 97 to 68. The odds that people not having children are married are 35to 71. The odds ratio is then 97/68 ÷ 35/71≈2.89. In this study, people who have children had about 3 times the odds of being married as people who do not have children) 45.Researchers wanted to study if wearing cotton clothes is related to depression. They surveyed a large group of people. The data are shown in the contingency table below. What is the odds ratio for people wearing cotton clothes being depressed against people not wearing cotton clothes being depressed? Round your answer to two decimal places. Depressed Not Depressed Total Cotton 122 189 311 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Not Cotton 420 263 683 Total 542 452 994 Provide your answer below: 0.40 (The odds that a person who wears cotton clothes is also depressed are 122 to 189. The odds that a person who does not wear cotton clothes is depressed are 420 to 263. The odds ratio is then 122/189 ÷ 420/263≈0.40. In this study, people who wear cotton clothes had over 0.4 times the odds of also being depressed as people who are not wearing cotton clothes. 46.Review the flu vaccine data below. What is the odds ratio of not catching the flu for those who receive the new vaccine? Caught Did not catch Tota MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 48. In a recent survey, a group of people were asked if they were happy or unhappy with the state of the country. The data are shown in the contingency table below, organized by political party. What is the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans? Round your answer to two decimal places. Unhapp y Unhapp y Total Republica n 152 98 250 Democrat 104 146 250 Total 256 244 500 Provide your answer below: 0.46 (The odds that a person unhappy with the state of the country is a republican are 98 to 146, or 49 to 73. The odds that a person happy with the state of the country is a republican are 152 to 104, or 19 to 13. The odds ratio is then 49/73 ÷ 19/13≈0.46. In this study, a person unhappy with the state of the country had about half the odds of being a republican as a person happy with the state of the country. 49.Researchers wanted to study if couples having children are married. They surveyed a large group of people. The data are shown in the contingency table below. What is the relative risk of being married for those who have children? Round your answer to two decimal places. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Children No Children Total Married 97 35 132 Not Married 68 71 139 Total 165 106 271 Answer: 1.78 (he probability that someone who has children is married is 97/165. The probability that someone who does not have children is married is 35/106. The relative risk is then 97/165 ÷ 35/106≈1.78. This means that in this survey, people who have children were 178%as likely to be married as people who do not have children. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 50.Kelsey, a basketball player, hits 3-point shots on 38.1% of her attempts. If she takes 14 attempts at 3-point shots in a game, what is the probability that she hits exactly six of them? Use Excel to find the probability. • Round your answer to three decimal places. Provide your answer below: 0.198 51. A computer graphics card manufacturer is testing an improvement to its production process. If a sample of 100 graphics cards manufactured using the new process has a less than 10% chance of having 3 or more defective graphics cards, then the manufacturer will switch to the new process. Otherwise, the manufacturer will stay with its existing process. If the probability of a defective graphics card using the new process is 0.9%, will the manufacturer switch to the new production process? Select the correct answer below: Yes, because the probability of having 3 or more defective graphics cards is greater than 0.10. Yes, because the probability of having 3 or more defective graphics cards is less than 0.10. No, because the probability of having 3 or more defective graphics cards is less than 0.10. No, because the probability of having 3 or more defective graphics cards is greater than 0.10. (Note that this is a cumulative binomial probability. In this case, we want to find the probability of 3 or more successes, inclusive, where a success is one of the graphics cards being defective. The probability of having 2 or fewer defective graphics cards is the complement of the probability of having 3 or more defective graphics cards. To determine the probability from a binomial distribution using Excel, follow the steps below. 1. First press FORMULAS and then INSERT FUNCTION. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Enter 0 for Cumulative since this is not a cumulative probability) 54. A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sample of 45 people who took the remedy, 40 of them had a reduction of symptoms within a day. • Round your answer to three decimal places. 0.183 55. Kevin works for a company that manufactures solar panels. In a large batch of solar panels, about 1 in 200 is defective. Suppose that Kevin selects a random sample of six solar panels from this batch. What is the probability that none of the solar panels are defective? Use Excel to find the probability. • Round your answer to three decimal places. 0.970 MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing 56. A database system assigns a 32-character ID to each record, where each character is either a number from 0 to 9 or a letter from A to F. Assume that each number or letter being selected is equally likely. Find the probability that at least 20characters in the ID are numbers. Use Excel to find the probability. • Round your answer to three decimal places. 0.578 57. A fair spinner contains the numbers 1, 2, 3, 4, and 5. For an experiment, the spinner will be spun 5 times. If Event A = the spinner lands on numbers all less than 3, what is an outcome of Event A? a total sum less than 4 spinner lands on 1, 3, 1, 2, 1 a total sum of 11 spinner lands on 1, 2, 1, 2, 2 58. A poll is conducted to determine if political party has any association with whether a person is for or against a certain bill. In the poll, 214 out of 432 Democrats and 246 out of 421 Republicans are in favor of the bill. Assuming political party has no association, the probability of these results being by chance is calculated to be 0.01. Interpret the results of the calculation. We can expect that 246 out of every 421 Republicans are in support of this bill. We cannot say the results are statistically significant at the 0.05 level. At the 0.01 level of significance, political party is associated with whether a person supports this bill. At the 0.01 level of significance, political party determines whether a person supports this bill. (Statistical significance of any level does not mean that there is a certain factor that affects the results of the experiment) 59. Arianna will roll a standard die 10 times in which she will record the value of each roll. What is a trial of this experiment? MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing one roll of the die rolling at least one 5 ten rolls of the die rolling a sum of 40 60. A health survey determined the mean weight of a sample of 762 men between the ages of 26 and 31 to be 173 pounds, while the mean weight of a sample of 1,561 men between the ages of 67 and 72 was 162 pounds. The difference between the mean MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing picking 10 people out of a crowd and having them all have brown eyes guessing somebody's name correctly without having previously met the person 63.Before a college professor gave an exam, he held a review session, where 30 of his 150 students attended the review. The mean score of the students who attended was 86%, whereas the mean score of the students who didn’t attend the review was 79%. The difference in the mean scores is significant at the 0.05 level, assuming the review session does not associate with a higher exam score. Determine the meaning of this significance level. Select the correct answer below: It is not unusual to see the mean exam score of 120 students be 79% because the testing abilities of students vary. We expect the mean score of a group of 30 students who attend a review session to be 86%. At the 0.05 level of significance, attendance of the review session is associated with a higher exam score. The review session is helpful to students at the 0.01 level of significance. 64.According to a recent poll, 40.5% of people aged 25 years or older in the state of Massachusetts have a bachelor’s degree or higher. The poll also reported that 30.0% of people aged 25 years or older in the state of Delaware have a bachelor’s degree or higher. The poll sampled 354 residents of Massachusetts and 210 residents of Delaware. The data was calculated to be significant at the 0.013 level. Determine the meaning of this significance level. Select the correct answer below: MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing At the 0.013 level of significance, a larger percentage of residents from Massachusetts have bachelor’s degrees. It is not unusual to see 30.0% of a sample of 210 residents of Delaware have bachelor’s degrees because level of education varies. It is certain that more residents of Massachusetts have bachelor’s degrees than do residents of Delaware. We can expect about 40.5% of any group of 354 Massachusetts residents to have a bachelor’s degree or higher. 65. A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25 surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing of 40 and 45, 52% also believed that a master’s degree has value in a person’s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to be 0.21. Interpret this calculation. Select the correct answer below: We can expect 56% of all adults between the ages of 22 and 25 to believe a master’s degree or higher provides an advantage in one’s career. The data is statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Age does not have any association with the belief that a master’s degree or higher provides an advantage in one’s career. The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. 66. A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation? Select the correct answer below: The data are not statistically significant at the 0.05 level. The mean mass of any 150 apples grown in the farmer's orchard is 98g. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Select the correct answer below: a particular result of an experiment one specific execution of an experiment a planned activity carried out under controlled conditions the set of all possible outcomes of an experiment 71.Beth is performing an experiment to check if a die is fair. She rolls the die 5 times and records the sequence of numbers she gets. Which of these is an outcome of this experiment? Select all correct answers. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing Select all that apply: Rolling a die Rolling a die five times Rolling the sequence 1,1,2,1,6 Rolling five 4's Rolling the sequence 1,1,2 (An outcome is a specific result of an experiment. So the outcomes of this experiment are all the possible sequences of five die rolls. So in this case, a particular sequence such as 1,1,2,1,6 is an outcome. So is rolling five 4's, because this is a specific outcome (4,4,4,4,4) 72.Which of the following pairs of events are independent? Select all that apply: You roll a die twice. Event A is getting an even number on the first roll. Event B is getting a 4 on the second roll. You roll a die twice. Event A is getting a 6 on the first roll. Event B is getting a total of MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing more than 7. You flip a coin and roll a die. Event A is getting heads on the coin. Event B is getting a 3 or more on the die. You roll a die and flip a coin. Event A is getting heads with the coin and getting 5 on the die. MATH 225N MATHWeek 4 Probability Questions and answers 100% CORRECT LATEST UPDATE 2021/2022 UPGRADED/ RATED A+ Chamberlain College of Nursing