the following on this page or on additional paper if needed. You must show ALL of your work to receive full credit for your answers. Your final answer for math problems must be enclosed in a box. Your homework MUST BE COMPLETED INDEPENDENTLY OR IT IS CONSIDERED ACADEMIC DISHONESTY! 1. According to the 2005 Census of Publicly Funded Forensic Crime Laboratories, state crime labs received a mean of 610 requests for DNA analyses during the year, with a population standard deviation of 581. a. Illinois State Police Crime Lab received 475 DNA requests during 2005, What was Illinois State Police Crime Lab's z-score? (1 points) b. What proportion of states had more than 650 requests during 2005? (2 points) c. What percentage of states had between 450 and 600 requests during 2005? (3 points) d. What is the minimum number of requests a state crime lab has to receive to be in the top 10% in requests? (2 points) 2. You are a researcher studying drug offenders leaving rehab. You find that the average number of days drug offenders are clean before relapsing is 22. The standard deviation for the population is 2.7. Based on this information: a. What is the percentage of drug offenders who relapse between 15 and 24 days? (3 points) b. What is the proportion of drug offenders who relapsed after 25 days? (2 points) c. What is the percentage of drug offenders who relapsed between 23 and 26 days? (2 points)