The life of a computer motherboard has an exponential distribution with a mean life of 15 years. A company recently bought a set of regulators of a given brand to test them. a) If the computer motherboard stops in less than 5 years in more than 95% cases, the company needs to search for computer motherboards from another brands. i. Discuss how you are going to decide if the company needs to buy from another brand. Identify and define the engineering problem. Write the mathematical formulation of the problem. [10 points] ii. What is the average number of computers with stopped motherboards during one year? [5 points] iii. iv. Model the engineering problem, by calculating the probability that computer motherboard will stop in less than 5 years? [10 points] Based on the result and discussion given above, solve the engineering problem and make decision if the company needs to buy from a new brand. Discuss your answer. [5 points]