course hero - Search X *Course Hero X + X -> CA https://www.coursehero.com/qa/wait/38846773/?question_id=38846773 . . . Cours Week 9: Chapter 7 Test X bapa format citation - SearcpA Formatting and Citatic X Course Hero X + O X X @ https:/ightingale.instructure.com/courses/3345304/assignments/33452682?module_... Q to . Question 8 Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 22 minutes. A researcher observed 40 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of 27 2 - N ctor c. What is the distribution of a? J - N d. If one randomly selected student is timed, find the probability that this student's time will be between 43 and 47 minutes. e. For the 40 students, find the probability that their average time studying is between 43 and 47 minutes. f. Find the probability that the randomly selected 40 students will have a total study time less than 1640 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 20% of the total study time for groups of 40 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? minutes Submit Question Type here to search 8:04 PM 3/11/2022 25 Type here to search 20 10:45 PM 51 ' F 3/13/2022