C. A manufacturing company firm produces LED lamps with a mean lifetime of 900 hours and a standard deviation of 35 hours. Find the probability that a random sample of 100 lamps will last on the average of 1. more than 915 hours a. What is the equivalent z-score of 915 hours? b. Show the 2-score and corresponding raw score in the normal curve? Shade the anda. c. Find the probability. 2. between 895 and 905 hours. a. What is the equivalent z-score of 895 and 905 hours? b. Show the 2-score and corresponding raw score in the normal curve? Shade the anca. c. Find the probability. D. A popular burger chain sells a particular soda brand using a machine that discharges an average of 500 ml per cup. If the amount of drink is normally distributed with a standard deviation of 35 ml, 1. What percent of the cups will contain more than 550 ml? 2. What is the number of cups that will contain more than 550 ml for 1500 drinks? 3. What percent of the cups will contain 490 to 530 ml? 4. What is the number of cups that will contain 490 to 530 ml for 1500 drinks?C. Determine each of the following areas and show this graphically. I. above 2-1.46 2. Below 2=-0.58 3. Between 2 0.76 and z 2 8R 4. between 2- -0.92 and z=1.75 5. At least 2 -2