(5) 1. The speeds on a stretch of highway are normally distributed with a mean of 68 mph with a standard deviation of 12 mph. The police decide they will only ticket the fastest 1.7% of people driving on the highway. What is the minimum speed you would have to travel in order to get a ticket? (5) 2. At a job that makes furniture it that rewards efficiency (reduced time to make chairs will result in a bonus). If the average time to make a chair is normally distributed with a mean of 9 hours and a standard deviation of 1.25 hours and you are given a bonus if you can make a chair in the fastest 6.18% of times, what is the maximum time you have to make the chair and still get the bonus? (8) 3. We know that 6% of students will fail a course. If I take a sample of 1200 students who take an online stats course find the probability that more than 100 will fail? To solve this problem we could do it without Minitab and would be done in the following manner you answer the questions asked where x = number of students who fail P(x > 100) x has what type of distribution? P(x > 100.5) x has what type of distribution? P(z > 100-42) z has what type of distribution? 8.23 P(z > 3.40) = 0 Based on this answer if an online course DID had over 100 failures with 1200 students would you recommend that the course be taught online? Explain