Which of the following is an example of a discrete random variable?
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- Indicate whether each of these is best modeled as a discrete or continuous random variable: a. The amount of time spent waiting for the CAT bus is DISCRETE or CONTINUOUS? b. The proportion of students who get their registration PIN before their registration window opens. Is DISCRETE or CONTINUOUS? c. The number of books in Cooper library is DISCRETE or CONTINUOUS? d. The volume of water in the reflecting pond is DISCRETE or CONTINUOUS? e. The number of people waiting in line at Chick-Fil-a by Freeman Hall is DISCRETE or CONTINUOUS?A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 3 Blue 2 Green 14 Yellow 13 Purple 7 Based on these results, express the probability that the next spin will land on red as a percent to the nearest whole number.1. Which of the folowing is a discrete random variable? a. the average amount of electricity consumed b. the of patients in a hospital c. the amount of paint used in repainting a building d.the average weight of female athlets
- 6From this population data set: (3, 6, 9, 12, 18), how many possible samples with sample size of 3 can be chosen? O a. 3 O b. 5 O c. 10 Od. 15The instructor takes a random sample of size from the population data and obtains the following sample data: x 405 385 495 385 555 470 5 If we take random samples of size n = 6 from this population, the number of possible samples is: a 11,481,019,312 b 11,367,345,853 c 11,254,797,874 d 11,143,364,232
- A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)A sports franchise knows that 81% of their season ticket holders attend every home game. The collect a random sample of size 250 from among last year's season ticket holders. How likely are they to find that 200 or fewer attended every home game? a. .657 b. .800 c. .343 d. .500Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student's country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table. Country U.K. U.S. Fly 54 45 Freeze time 52 44 Invisibility 30 37 Superpower 20 23 Superstrength Telepathy 44 66 a. What proportion of students in the sample are from the United States? b. Find the distribution of superpower preference for the students in the sample using relative frequencies. c. What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
- A population of the values 2, 4, and 7. List down all the possible samples of size 2 which can be drawn from this population. Find the following: 1. List all of the possible sample of size of 2. 2. Compute the mean of each sample 3. Identify the probability of each sample 4. Illustrate the histogramLast school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 400 students taken from this year's student body showed the following number of students in each classification. Freshmen 113 Sophomores 98 Juniors 115 Seniors 74 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals Select one: a. .54. b. .65. c. 2.063. d. 2.664.Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 150 Not Diabetic 12 85 93 40 230 Column Totals 20 119 158 83 380
