1. On a recent test in CHEM 3305, the class average was 52 with a standard deviation of 15. Based on these results, the professor decided to curve the grades. She would like to define an A so that the top 10% of students get this grade. Assuming test scores in this class are normally distributed, what grade on the exam corresponds to an A? Provide both test score and corresponding z-score. 2. A person who plays online videogames has been recording their lobby times (the time between when one match ends and the next match starts). They found that the average lobby time is normally distributed with a mean of 4 minutes and a standard deviation of one minute. Use this information to answer parts a-e below. For full credit, show both the percent and the corresponding z-score values. a. What is the probability that their next match would start in less than five minutes? b. What is the probability that their next match will take over six minutes to start? c. What is the probability that their next match will start in less than 3.5 minutes? d. What is the probability that their next match will start between 3 and 5 minutes after the last match? e. What is the probability that the next match will start between 2 and 5 minutes after the last match