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 20 minutes. A researcher observed 7 students who entered the library to study. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(Correct,Correct) What is the distribution of ¯xx¯? ¯xx¯ ~ N(Correct,Incorrect) What is the distribution of ∑x∑x? ∑x∑x ~ N(___,___)If one randomly selected student is timed, find the probability that this student's time will be between 36 and 47 minutes. For the 7 students, find the probability that their average time studying is between 36 and 47 minutes. Find the probability that the randomly selected 7 students will have a total study time less than 210 minutes. For part e) and f), is the assumption of normal necessary? NoYesThe top 20% of the total study time for groups of 7 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

Answered: What is the distribution of XX? XX ~…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 20 minutes. A researcher observed 7 students who entered the library to study. Round all answers to 4 decimal places where possible.

What is the distribution of XX? XX ~ N(Correct,Correct)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(Correct,Incorrect)
What is the distribution of ∑x∑x? ∑x∑x ~ N(___,___)
If one randomly selected student is timed, find the probability that this student's time will be between 36 and 47 minutes.
For the 7 students, find the probability that their average time studying is between 36 and 47 minutes.
Find the probability that the randomly selected 7 students will have a total study time less than 210 minutes.
For part e) and f), is the assumption of normal necessary? NoYes
The top 20% of the total study time for groups of 7 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

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