need help with 2-10 please

2. [-/6 Points] DETAILS BBBASICSTAT8 7.1.009. MY NOTES PRACTICE ANOTHER At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1254 with a standard deviation of 25 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between and A.D. (b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will be found between and A.D. (c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be found between and A.D Need Help? Read It Watch It3. [-/3 Points] DETAILS BBBASICSTAT8 7.1.010.NVA MY NOTES PRACTICE ANOTHER A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% 1- 30 1 - 20 1- 0 uto u + 20 u + 30 68% 95% 99.7% (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 880 cups. How many of these do you expect will overflow when served? cups 4. [-/4 Points] DETAILS BBBASICSTAT8 7.2.005.MI. MY NOTES PRACTICE ANOTHER A normal distribution has / = 30 and o = 5. (a) Find the z score corresponding to x = 25. (b) Find the z score corresponding to x = 41. (c) Find the raw score corresponding to z = -3.Need Help? Read It Master It 5. [-/1 Points] DETAILS BBBASICSTAT8 7.2.008. MY NOTES PRACTICE ANOTHER Raul received a score of 70 on a history test for which the class mean was 70 with a standard deviation of 5. He received a score of 76 on a biology test for which the class mean was 70 with standard deviation 8. On which test did he do better relative to the rest of the class? O biology test O history test O the same Need Help? Read It Watch It 6. [-/1 Points] DETAILS BBBASICSTAT8 7.2.016.NVA MY NOTES PRACTICE ANOTHER Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the left of z = -0.53 is 7. [-/1 Points] DETAILS BBBASICSTAT8 7.2.020.NVA MY NOTES PRACTICE ANOTHER Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 0.20 isThe area between 1 = 1.49 and 1 = 2.05 is 9. [-12 Points] BBBASICSTAT8 7.2.034.NVA Let 1 be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places') P(z s 2.09) = Shade the corresponding area under the standard normal curve. 0 05. 0.2 0.1 PRACTICE ANOTHER 10. [-/2 Points] DETAILS BBBASICSTAT8 7.2.040.NVA MY NOTES PRACTICE ANOTHER Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z 2 -1.41) = Shade the corresponding area under the standard normal curve. 0.4/ 0.4/ 0.3 0.3 0.2 0.2+ 0.1 0.1 - Z - Z 0-3 -2 -1 2 3 0-3 -2 - 1 1 2 3 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 Z 0-3 -2 -1 2 0-3 -2 -1 26. [-/1 Points] DETAILS BBBASICSTAT8 7.2.016.NVA MY NOTES PRACTICE ANOTHER Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the left of z = -0.53 is 7. [-/1 Points] DETAILS BBBASICSTAT8 7.2.020.NVA MY NOTES PRACTICE ANOTHER Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 0.20 is 8. [-/1 Points] DETAILS BBBASICSTAT8 7.2.026.NVA MY NOTES PRACTICE ANOTHER Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = -1.49 and z = 2.05 is