Consider the following data collected in a study concerning animal preference and choice of car. What is the probability a randomly chosen individual in this study has a cat given they own a Fiat 500? Pet/Vehicle preference Subaru Outback Fiat 500 Total Cat 200 300 Dog 400 100 Total 75% 40% 30% O 50%
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- Explain the method of retrospective study for collecting data. Consider the semiconductor wafer data in Table 4. Suppose those 10 wafers are selected randomly (without replacement) for an electrical test. Determine the probability that exactly 4 wafers have high contamination. Table 4: Wafers in Semiconductor Manufacturing Classified by Contamination and Location Location in Sputtering Tool Centre Edge 514 68 112 246 626 314 Contamination Low High Total Total 582 358Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?An observational study is described. Identify the specified element.At St. Luke's hospital in 1998, 674 women were diagnosed with breast cancer. Five years later, 88% of the Caucasian women and 83% of the African American women were still alive. Determine the nature and scope of the conclusion the study can reach. Choose the best answer below: A. Since there is no random assignment, there is no way to know that being Caucasian causes women with breast cancer an increased chance of surviving five years; there may have been confounding variables. B. For women with breast cancer, being Caucasian causes an increased chance of surviving five years. C. Since there is no random assignment, there is no way to know that being Caucasian causes women with breast cancer an increased chance of surviving five years; there may have been lurking variables. D. For Caucasian and African American women with breast cancer, attending St. Luke's hospital causes an increased chance of surviving five…
- В. Forty five percent of the streets in an area have private guards for security. Three streets are selected at random: i. What is the probability all three of the selected streets have private guards? What is the probability none of the three selected streets has private guards? What is the probability at least one of the selected streets has private guards? iv. ii. iii. What is the probability at most two of the selected streets have private guards?The data below was obtained from a random survey of 459459 people. The participants were asked their political party and whether they approve, disapprove, or have no opinion of how the president is doing his job. The results of the survey are as follows: Democrat Republican Independent Total Approve 103 56 8 167 Disapprove 109 123 5 237 Undecided 27 28 5 55 Total 239 207 18 459 If a person if selected at random, what is the empirical probability that the the person approves of the job the president is doing or is an independent?Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
- Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 42 11 Subject Is Not a Drug User 17 34In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement? A) Agreement with the statement, "Happiness mostly depends on luck." B) Conscientiousness score on a personality inventory test. C) High school GPA. D) A random number between 0 and 10, chosen by the participant.Use the data in the following table, which lists the survey results of 558 university-affiliated individuals and their attitudes regarding working and learning remotely. Assume that individuals are randomly selected from those included in the table. Affiliation Type Preference Undergrad Grad Staff Faculty 106 91 33 145 Remote 86 59 22 16 Hybrid or In Person Answer the following questions. If two of the individuals are randomly selected without replacement, what is the probability of both selected individuals having a preference for Remote working and learning? 0.672 (Round to three decimal places as needed.) If one of the individuals is randomly selected, what is the probability of selecting an individual that is Faculty and has a preference for Remote working and learning? 0.260 (Round to three decimal places as needed.) If one of the individuals is randomly selected, what is the probability of selecting an individual that is Staff or has a preference for Remote working and learning?…
- Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel a. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b. If two people are randomly selected, what is the probability that at least one of them has brown eyes?A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.A survey of students was conducted to study the relationship between the types of housing a student has and the student's mode of travel to class. The table below contains data gathered in that study. House Apartment Dorm Total Walk 12 44 155 211 Skateboard 26 38 108 172 Car 168 121 3 292 Total 206 203 266 675 Suppose one student is chosen at random. What is the probability the student skateboards to class? O 12.39% O 25.48% 062.79% O 6.14%
