Scenario: The data to the right is the result of a random sample of nine electronic switches used in a reliability confirmation test in which the switches were tested to failure and the time-to-failure recorded in hours. Assume the time to failure is normally distributed. Use this data and the Normal distribution to answer the questions that follow. Show your answers to four decimals (for example, 0.2538). 1. 1155 Hrs. to Failure 1283 1102 1154 1017 1321 1092 1270 1225 What is the probability a randomly selected switch will fail after 1375 hours? 2. 3. 4. 5. Standard Normal Distribution What is the probability a randomly selected switch will fail after 1000 hours? Standard Normal Distribution What is the probability a randomly selected switch will fail between 1250 and 1400 hours? Standard Normal Distribution What is the probability a randomly selected switch will fail before 1200 hours? Standard Normal Distribution Based on this data, if the company wants to choose a warranty policy such that no more than 5% of the switches are likely to require warrantly replacement, how many hours should the policy warranty? Show your answer to two decimal places (for example, 875.24).