Question 8<>Suppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 48 minutes and standard deviation 18 minutes. A researcher observed 41 studentswho entered the library to study. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N( 48b. What is the distribution of ? - N( 48c. What is the distribution of a? - Nd. If one randomly selected student is timed, find the probability that this student's time will bebetween 46 and 49 minutes.18e. For the 41 students, find the probability that their average time studying is between 46 and 49minutes.Submit Questionf. Find the probability that the randomly selected 41 students will have a total study time more than1804 minutes.g. For part e) and f), is the assumption of normal necessary? O No Yesh. The top 15% of the total study time for groups of 41 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?minutes

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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the median of the following distribution: 10-14 15-19 16 20-24 12 25-29 4. TOTAL 40 O 20.00 O 17.00 O 14.50 O 18.25 Chek Save and Submit to save and submit. Click Save All Answers to sav
D,E, and F
V3qZFDvprW. Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 21 minutes. A researcher observed 48 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 ? - N( С. c. What is the distribution of x? x - N( Gin... d. If one randomly selected student is timed, find the probability that this student's time will be between 35 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 2064 minutes. g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of the total study time for groups of 48 students will be given a sticker that says "Great dedication". What is the least total…

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