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1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 1/12
[email protected] ( sign out) GE 2019 1223 MTH205, section A, Fall 2019 MATH205 - Chapter 5 Test (Test) INSTRUCTOR David Hays Unitek College Current Score QUESTION POINTS TOTAL SCORE –/53.13 0.0% SUN, JAN 12, 2020 11:59 PM PST Request Extension Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 1 2 3 4 5 6 7 8 9 10 11 12 13 Home My Assignments Grades Communication Calendar My eBooks –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 –/3.54 Due Date https://www.cengage.com/dashboard/?ssoToken=31593373B2DEB22150E157202F4FFE6A0FB60F5EABCDD49D63FCBD5A8C018ED090C5BC1EEF04560A1039D52EA113C8A61CF9D3D0C0EDFEF0AB41C3B30AC5822863CDACB7F299856A&token=31593373B2DEB22150E157202F4FFE6A0FB60F5EABCDD49D63FCBD5A8C018ED090C5BC1EEF04560A1039D52EA113C8A61CF9D3D0C0EDFEF0AB41C3B30AC5822863CDACB7F299856A https://www.webassign.net/manual/student_guide/ https://www.webassign.net/web/User/Cengage/my_account 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 2/12 Consider the probability distribution shown below. x 0 1 2 P(x) 0.35 0.50 0.15 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.) 1. –/3.54 points BBUnderStat12 5.1.007.MI. My Notes Ask Your Teacher 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 3/12 What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint x 23 34 45 56 67 Percent of super shoppers 10% 41% 26% 13% 10% For the 62-and-over group, use the midpoint 67 years. (a) Using the age midpoints x and the percentage of super shoppers, do we have a valid probability distribution? Explain. No. The events are indistinct and the probabilities sum to more than 1. Yes. The events are indistinct and the probabilities sum to less than 1. Yes. The events are distinct and the probabilities sum to 1. No. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. (b) Use a histogram to graph the probability distribution of part (a). (c) Compute the expected age μ of a super shopper. (Round your answer to two decimal places.) μ = yr (d) Compute the standard deviation σ for ages of super shoppers. (Round your answer to two decimal places.) σ = yr 2. –/3.54 points BBUnderStat12 5.1.010. My Notes Ask Your Teacher 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 4/12 Consider a binomial experiment with where the probability of success on a single trial is (Round your answers to three decimal places.) (a) Find (b) Find by using the complement rule. A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.) (a) Find the probability of getting exactly three heads. (b) Find the probability of getting exactly two heads. (c) Find the probability of getting two or more heads. (d) Find the probability of getting exactly three tails. n = 9 trials p = 0.25. P(r = 0). P(r ≥ 1) 3. –/3.54 points BBUnderStat12 5.2.011.MI. My Notes Ask Your Teacher 4. –/3.54 points BBUnderStat12 5.2.015. My Notes Ask Your Teacher https://www.webassign.net/bbriefstat5/a-table-02-alt.gif 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 5/12 Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all ten questions, find the indicated probabilities. (Round your answers to three decimal places.) (a) What is the probability that he will answer all questions correctly? (b) What is the probability that he will answer all questions incorrectly? (c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table. Then use the fact that P(r ≥ 1) = 1 − P(r = 0). Compare the two results. Should they be equal? Are they equal? If not, how do you account for the difference? They should be equal, but may not be due to table error. They should be equal, but may differ slightly due to rounding error. They should not be equal, but are equal. They should be equal, but differ substantially. (d) What is the probability that Richard will answer at least half the questions correctly? 5. –/3.54 points BBUnderStat12 5.2.016. My Notes Ask Your Teacher https://www.webassign.net/bbriefstat5/a-table-02-alt.gif 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 6/12 Before 1918, approximately 60% of the wolves in a region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female? (b) For the period from 1918 to the present, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male? What is the probability that 9 or more were female? What is the probability that fewer than 6 were female? The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 5% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of ten adult friends, what is the probability of the following? (Round your answers to three decimal places.) (a) no one has done a one-time fling (b) at least one person has done a one-time fling (c) no more than two people have done a one-time fling 6. –/3.54 points BBUnderStat12 5.2.017.MI. My Notes Ask Your Teacher 7. –/3.54 points BBUnderStat12 5.2.018. My Notes Ask Your Teacher 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 7/12 Sociologists say that 95% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that nine married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.) (a) All of them dislike their mother-in-law. (b) None of them dislike their mother-in-law. (c) At least seven of them dislike their mother-in-law. (d) No more than six of them dislike their mother-in-law. A research team conducted a study showing that approximately 15% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 20 businessmen, all of whom wear ties, what are the following probabilities? (Round your answers to three decimal places.) (a) at least one tie is too tight (b) more than two ties are too tight (c) no tie is too tight (d) at least 18 ties are not too tight In the binomial probability distribution, let the number of trials be n = 4, and let the probability of success be p = 0.3418. Use a calculator to compute the following. (a) The probability of three successes. (Round your answer to three decimal places.) (b) The probability of four successes. (Round your answer to three decimal places.) (c) The probability of three or four successes. (Round your answer to three decimal places.) 8. –/3.54 points BBUnderStat12 5.2.019.MI. My Notes Ask Your Teacher 9. –/3.54 points BBUnderStat12 5.2.020. My Notes Ask Your Teacher 10. –/3.54 points BBUnderStat12 5.2.028. My Notes Ask Your Teacher 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 8/12 Consider a binomial distribution with 12 trials. Look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial. (a) For what value of p is the distribution symmetric? p = What is the expected value of this distribution? Is the distribution centered over the value? Yes No (b) For small values of p, is the distribution skewed right or left? right left (c) For large values of p, is the distribution skewed right or left? right left 11. –/3.54 points BBUnderStat12 5.3.006. My Notes Ask Your Teacher https://www.webassign.net/bbriefstat5/a-table-02-alt.gif 1/12/2020 MATH205 - Chapter 5 Test - GE 2019 1223 MTH205, section A, Fall 2019 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=22763257?token=22F3F21B3077C12E077F0B0ADB7AD011A3D096BE7EBD8D657A1… 9/12 A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose that you have the names of five friends for whom you have no addresses and decide to use the company to track them. (a) Make a histogram showing the probability of r = 0 to 5 friends for whom an address will be found. (b) Find the mean and standard deviation of this