D,E, F and H please. I send this question a few days ago they were wrong Suppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 40 minutes and standard deviation 21 minutes. A researcher observed 48 students whoentered the library to study. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - Nb. What is the distribution of a? - N(c. What is the distribution of z? >z - Nd. If one randomly selected student is timed, find the probability that this student's time will be between35 and 37 minutes.e. For the 48 students, find the probability that their average time studying is between 35 and 37 minutes.f. Find the probability that the randomly selected 48 students will have a total study time more than 2064minutes.g. For part e) and f), is the assumption of normal necessary?h. The top 15% of the total study time for groups of 48 students will be given a sticker that says "Greatdedication". What is the least total time that a group can study and still receive a sticker?Yes NominutesHint:Some Helpful Videos:• Finding the Sampling Distribution 2 [+]• Finding a Probability Using the Central Limit Theorem (+]• Finding Value Given a Probability Using the Central Limit Theorem [+)• The Central Limit Theorem For Sums [+)Hintpdf

Name: D,E, F and H please. I send this question a few days ago they were wro
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Description: D,E, F and H please. I send this question a few days ago they were wrong Suppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 40 minutes and standard deviation 21 minutes. A resea