Smoking is known to be hazardous to one's health. Suppose that in a study conducted on the relationship between cancer and smoking habits, the following data are collected. Nonsmokers Moderate Smokers Heavy Smokers Has Cancer 26 41 35 Has No Cancer 53 31 24 If one of these 210 individuals is selected at random, what is the probability that the person is a cancer patient, given that the person is a smoker (moderate or heavy)? 76/131 41/72 76/210 35/59
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- 3. In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 16 trucks tested, find the probability that a. From 3 to 6 have blowouts, exclusive; b. Fewer than 4 have blowouts; c. More than 5 have blowouts.200 people were classified according to blood pressure status and diabetes status as follows: Diabetes status Blood pressure status Total Low Normal High Diabetic 5 20 35 60 Not diabetic 10 110 20 140 Total 15 130 55 200 What is the probability that a randomly selected person: Is diabetic Is diabetic or have normal blood pressure Has high blood pressure given that he/she is diabetic10
- 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 37 12 Subject Is Not a Drug User 19 32 The probability of a false positive test result is nothing. (Round to three decimal places as needed.)The following table shows the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. Underweight Normal Weight Overweight Obese Diabetes 8 34 65 43 No Diabetes 12 85 93 40 What is the probability that a patient selected at random is overweight? Answer: What is the probability that they are obese and diabetic? What proportion of the diabetics are obese?In a survey of 2500 adults 18 year old and older conducted in 2019 adults 18 years old and older, the following question was asked : Is your family income keeping pace with the cost of living ? The results of the survey follow : Falling Staying Don't Answer Increasing behind even know faster Respondents 900 1020 460 120 Determine the probability distribution associated with these data.
- 11 A Gallup Poll of U.S. adults indicated that Kentucky is the state with the highest percentage of smokers. Consider the following example data from the Tri-State region, an area that comprises northern Kentucky, southeastern Indiana, and southwestern Ohio.State Smoker Non-SmokerKentucky 47 176Indiana 32 134Ohio 39 182Total 118 492 a Use the data to compute the probability that an adult is the Tri-State region smokes b What is the probability of an adult in each state of the Tri-State region being a smoker? Which state in the Tri-state region has the lowest probability of an adult being a smoker? Show all steps in Excel.A university conducted a survey of 272 Sophomore, Junior, and Senior undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Sophomore Junior Senior Total Satisfied 48 65 59 172 Neutral 16 18 9. 43 Not satisfied 16 14 27 57 Total 80 97 95 272 A survey participant is selected at random. What is the probability that he or she is a Junior or Senior? The probability that a student is a Junior or a Senior is (Round to three decimal places as needed.)The table below lists a random sample of 50 speeding tickets on a highway 0-10 mph over limit 10-20 mph over limit More than 20 mph over limit Male 5 16 14 Female 3 8 4 Use the table to answer the following questions. (a) If a random ticket was selected, what would be the probability that the driver was female? (b) Given that a particular ticket had a male offender, what is the probability that they were more than 20 mph over the limit? (c) Given that a particular ticket was 10-20 mph over the limit, what is the probability that the driver was female?
- 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?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 2 29 The probability of a false positive test result is (Round to three decimal places as needed.) Who would suffer from a false positive result? Why? O A. The person tested would suffer because he or she would be suspected of using drugs when in reality he or she does not use drugs. B. The employer would suffer because the person tested would not be suspected of using drugs when in reality he or she does use drugs. C. The person tested would suffer because he or she would not be suspected of using drugs when in reality he or she does use drugs. D. The employer would suffer…A sample of 200 new cars were checked for defects. The following table shows the results of the study. Fewer than Six Defects Six or More Defects Total American Built 57 65 122 Foreign Built 36 42 78 Total 93 107 200 One car is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected car was American built? (b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built? (c) What is the probability that a randomly selected car was American AND had six or more defects? (d) What is the probability that a randomly selected car was American OR had six or more defects?