Algebra 2 Writing Assignment: Normal Distribution Each problem is worth 5 points. Total Points: 50 Answer each of the following problems. 1) The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the probability that a student will finish the test in less than 70 minutes? 2) The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the probability that a student will finish the test between 50 and 60 minutes? 3) The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the probability that a student will finish the test between 40 and 70 minutes? 4) The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the z-Score for a student who finishes the test in 45 minutes? 5) The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the z-Score for a student who finishes the test in 23 minutes? 6) The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. What is the probability that a student will score more than 1700 points? 7) The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. If 10,000 students take the exam, how many would you expect to score between 1700 and 1775 points? 8) The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. If 10,000 students take the exam, how many would you expect to score above 1850 points? 9) The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. What is the z-Score test result of 1300 points? 10) The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. What is the z-Score test result of 1800 points