' .Question3 v i k l > i Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 50 minutes and standard deviation 20 minutes. A researcher observed 17 students who entered the library to study. Round all answers to 4 decimal places where possible. no. What is the distribution of 2 a? Z w NOD d. if one randomly selected student' 13 timed, find the probability that this student's time will be between 52 and 55 minutes. C] f. Find the probability that the randomly selected 17 students will have a total study timeless than 765 9.. For part e) and f), is the assumption of normal necessary? '0 N00 Yes h. The top 15% of the total study time for groups of 17 students will be given a sticker that says 'Great dedication" . What is the least total time that a group can study and still receive a sticker? C:] minutes e. For the 17 students, find the probability that their average time studying is between 52 and 55 minutes. 8011 pt 'i