2 | OPM 101 | Due Friday, Feb 28th, 2025 (Please submit your HW to CANVAS) Full Name:_____________________________ CSUS Email:_______________________________ ****Show all work to get a chance for partial credit. 1. A manufacturing company produces automotive parts using an injection molding process. The mean time it takes to complete one injection molding cycle is 5 minutes, with a standard deviation of 2 minutes. This process involves injecting molten material into a mold to form the desired shape of the automotive part. (a) What is the natural coefficient of variation for injection molding? c0: ______________ (b) If the injection molding cycle times of the parts are independent, what will be the mean and variance of completing a batch of 50 automotive parts? What will be the coefficient of variation of a batch of 50 automotive parts? t0: ______________ 02: ______________ c0: ______________ (c) The injection molding machine in the manufacturing facility may fail at any time randomly. The time to failure follows an exponential distribution with a mean of 80 hours, and the repair time also follows an exponential distribution with a mean of 4 hours. What will be the effective mean and coefficient of variation of the injection molding