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1. [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER A soft-drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are Q1 = 356, Q2 = 360, and Q3 = 361. (a) Find the IQR = (b) Find the outlier limits. Round your answers to one decimal place. lower limit upper limit (c) A fill volume of 350 mL is considered low. Would a fill volume of 350 mL be considered an outlier? Explain. No, since 350 falls between the lower and upper outlier limits. Yes, since 350 is below the lower outlier limit. Yes, since 350 is above the upper outlier limit. 2. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER Given P(A) = 0.5 and P(B) = 0.3, do the following. (a) If A and B are mutually exclusive events, compute P(A or B). (b) If P(A and B) = 0.1, compute P(A or B).6. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 24.5%, and the final exam is worth 28%. Compute the weighted average for the following scores: 60 on the lab, 78 on the first major test, 77 on the second major test, and 97 on the final exam. Enter your answer as a whole number. 7. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER If the probability of being hospitalized during a certain year is 0.14, find the probability that no one in a family of seven will be hospitalized that year. The probability is . (Round your answer to five decimal places.)8. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER Have you ever tried to get out of jury duty? About 26% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty. t LO USE SALT (a) If 11 people are called for jury duty, what is the probability that all 11 will be available to serve on the jury? (Round your answer to three decimal places.) (b) If 11 people are called for jury duty, what is the probability that 5 or more will not be available to serve on the jury? (Round your answer to three decimal places.) (c) Find the expected number of those available to serve on the jury. What is the standard deviation? (Round your answers to two decimal places.) H = people 6 = people (d) What is the smallest number of people n that the jury commissioner contact to be at least 95.9% sure of finding at least 12 people who are available to serve? (Enter your answer as a whole number.) people9. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. Assume o = 4.4 thousand dollars. 4.1 6.5 3.6 8.6 8.4 5.9 8.0 5.6 -1.2 4.4 2.2 5.8 (a) Find x for the preceding data. (Round your answer to two decimal places.) thousand dollars per employee (b) Let us say that the preceding data are representative of the entire sector of retail sales companies. Find an 80% confidence interval for /, the average annual profit per employee for retail sales. (Round your answers to two decimal places.) lower limit thousand dollars upper limit thousand dollars (c) Find an 95% confidence interval for /, the average annual profit per employee for retail sales. (Round your answers to two decimal places.) lower limit thousand dollars upper limit thousand dollars10. [-/3 Points] DETAILS MY NOTES ASK YOUR TEACHER The histogram in the figure below is based on information from one university survey. The histogram displays hours of sleep per day for a random sample of 190 students. Estimate the mean hours of sleep, standard deviation of hours of sleep and coefficient of variation. Round the answers to two decimal places. TOE 88 Frequency BO 70 _ 62 60 50 40 30 19 20 12 10 2 2 3 2 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 Hours of sleep CV11. [-/4 Points] DETAILS MY NOTES ASK YOUR TEACHER USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eight people at random off a city street. LA USE SALT (a) Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.) people 0 = people Find the expected number of people in this sample who are illiterate. (Round your answer to two decimal places.) people (b) How many people would you need to interview to be 87% sure that at least seven of these people can read and write (are not illiterate)? (Enter the smallest number of people needed to be at least 87% sure.) people 12. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER A fair six-sided die is rolled six times. (a) What is the probability that all six rolls are 1? (Round your answer to six decimal places.) (b) What is the probability that it comes up 6 at least once? (Round your answer to six decimal places.)