32. [0/3 Points] DETAILS PREVIOUS ANSWERS MY NOTES In the binomial probability distribution, let the number of trials be n = 6, and let the probability of success be p = 0.3175. Use a computer to determine the following. (a) The probability of five successes. (Use 4 decimal places.) (b) The probability of six successes. (Use 4 decimal places.) 0.3175 (c) The probability of five or six successes. (Use 4 decimal places.) 33. [-/2 Points] DETAILS MY NOTES Angela took a general aptitude test and scored in the 81st percentile for aptitude in accounting. (a) What percentage of the scores were at or below her score? (b) What percentage were above? % 34. [-/1 Points] DETAILS MY NOTES At General Hospital, nurses are given performance evaluations to determine eligibility for merit pay raises. The supervisor rates the nurses on a scale of 1 to 10 (10 being the highest rating) for several activities: promptness, record keeping, appearance, and bedside manner with patients. Then an average is determined by giving a weight of 1 for promptness, 3 for record keeping, 4 for appearance, and 2 for bedside manner with patients. What is the average rating for a nurse with ratings of 2 for promptness, 1 for record keeping, 10 for appearance, and 3 for bedside manner? (Enter your answer to one decimal place.)28. [-/2 Points] DETAILS MY NOTES The Orchard Cafe has found that about 16% of the diners who make reservations don't show up. If 81 reservations have been made, how many diners can be expected to show up? What is the standard deviation of this distribution? (Use 2 decimal places.) 29. [-/2 Points] DETAILS MY NOTES Consumer Reports rated airlines and found that 88% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 213 flights. What is the expected number that will arrive on time? What is the standard deviation of this distribution? (Use 2 decimal places.) 30. [-/6 Points] DETAILS MY NOTES Suppose x has a distribution with a = 15 and o = 11. () If a random sample of size n = 39 is drawn, find Ay, ox and P(15 s x s 17). IS = P(15 s x $ 17) = (b) If a random sample of size n = 75 is drawn, find , , and P(15 s x = 17). P(15 s x $ 17) = 31. [-/2 Points] DETAILS MY NOTES The heights of 18 year-old men are approximately normally distributed, with mean 71 inches and standard deviation 2 inches. (a) What is the probability that an 18 year-old man selected at random is between 70 and 72 inches tall? (Use 3 decimal places.) (b) If a random sample of sixteen 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Use 3 decimal places.)24. [-/1 Points] DETAILS MY NOTES Consider a normal distribution with mean 20 and standard deviation 5. What is the probability that a value selected at random from this distribution is greater than 20? (Use 2 decimal places.) 25. [-/1 Points] DETAILS MY NOTES Assume that x has a normal distribution. Find P(3 s x s 6) given that A = 4.3 and o = 2.3. (Use 4 decimal places.) 26. [-/2 Points] DETAILS MY NOTES A professor determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 7%, each paper is worth 6%, each test is worth 17%, and the final is worth 30% (@) What is the average for a student with 97 on attendance, 65 on the first paper, 84 on the second paper, 67 on test 1, 70 on test 2, 98 on test 3, and 64 on the final exam? (Enter your answer to one decimal place.) (b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 24 on attendance. (Enter your answer to one decimal place.) 27. [-/1 Points] DETAILS MY NOTES A performance evaluation for new sales representatives at Office Automation Incorporated involves several ratings done on a scale of 1 to 10, with 10 the highest rating. The activities rated include new contacts, successful contacts, total contacts, dollar volume of sales, and reports. Then an overall rating is determined by using a weighted average. The weights are 4 for new contacts, 3 for successful contacts, 1 for total contacts, 5 for dollar volume of sales, and 1 for reports. What would the overall rating be for a sales representative with ratings of 1 for new contacts, 2 for successful contacts, 5 for total contacts, 7 for dollar volume of sales, and 4 for reports? (Enter your answer to 2 decimal places.)
