Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 21 minutes. A researcher observed 15 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 x? a ~ N( c. What is the distribution of > x? d. If one randomly selected student is timed, find the probability that this student's time will be between 48 and 55 minutes. e. For the 15 students, find the probability that their average time studying is between 48 and 55 minutes. f. Find the probability that the randomly selected 15 students will have a total study time less than 810 minutes. g. For part e) and f), is the assumption of normal NoO Yes necessary? h. The top 10% of the total study time for groups of 15 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

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 21 minutes. A researcher observed 15 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 x? a ~ N( c. What is the distribution of > x? d. If one randomly selected student is timed, find the probability that this student's time will be between 48 and 55 minutes. e. For the 15 students, find the probability that their average time studying is between 48 and 55 minutes. f. Find the probability that the randomly selected 15 students will have a total study time less than 810 minutes. g. For part e) and f), is the assumption of normal NoO Yes necessary? h. The top 10% of the total study time for groups of 15 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

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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