Assignment 7-3 A company that owns and services a fleet of cars for its sales force has found that the service lifetime of disc brake pads varies from car to car according to a normal distribution with mean μ = 58,000 miles and standard deviation o = 4200 miles. The company installs a new brand of brake pads on 20 tires. 1. Describe the sampling distribution of the average brake pad life when 16 pads are selected. (Use Center, Spread and Shape) 2. Assumptions: Random Sample, Normal, Proof? 3. What is the probability that the average life of 20 brake pads is between 56,500 and 59,000 miles? 4. What is the probability that the average life of 20 brake pads is more than 57,000 miles? 5. What is the probability that the average life of 20 brake pads is less than 52,000 miles?