gt; For questions #14 through 16, sketch a normal distribution curve to model the data in each situation (except #16). Then use the 68-95-99.7 rule...

Hey course hero, can you please help me out with these questions 14-22 I really want to learn. this is hard. send help I might faint

> For questions #14 through 16, sketch a normal distribution curve to model the data in each situation(except #16). Then use the 68-95-99.7 rule to calculate the approximation percentages of eachsituation. Round answers to a tenth of a percent. (Sec 12.4)Examples:14. The maintenance department at the main campus of a large state university receives dailyrequests to replace fluorescent light bulbs. The distribution of the number of daily requests isbell-shaped and has a mean of 61 and a standard deviation of 5. Using the 68-95-99.7 rule, whatis the approximate percentage of light bulb replacement requests numbering between 51 and61?15. A company has a policy of retiring company cars; this policy looks at number of miles driven,purpose of trips, style of car and other features. The distribution of the number of months inservice for the fleet of cars is bell-shaped and has a mean of 35 months and a standard deviationof 9 months. Using the 68-95-99.7 rule, what is the approximate percentage of cars that remainin service between 8 and 26 months?16. The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped.The widget weights have a mean of 44 ounces and a standard deviation of 11 ounces.a. 68% of the widget weights lie between what two values?b. What percentage of the widget weights lie between 11 and 55 ounces?c. What percentage of the widget weights lie below 66?For questions #17 through 22, sketch a normal or standard normal distribution curve for eachsituation, then using your graphing calculator, calculate the percentages for each situation. Roundanswers to the nearest tenth of a percent. (Sec 12.5)Examples:17. A class is given an exam. The distribution of the scores is normal. The mean score is 70 and thestandard deviation is 9. What is the probability that a student scored less than 81?18. A manufacturer knows that their items have a normally distributed length, with a mean of 11.9inches, and standard deviation of 0.6 inches. If one item is chosen at random, what is theprobability that it is less than 10.6 inches long?19. A particular fruit's weights are normally distributed, with a mean of 612 grams and a standarddeviation of 23 grams. If you pick one fruit at random, what is the probability that it will weighbetween 545 grams and 684 grams?20. For a standard normal distribution, find the percentage of -2.67 < z s 0.64.21. For a standard normal distribution, find the percentage of z S -0.33.22. For a standard normal distribution, find the percentage of z 2 0.76.