Answered: Suppose that the amount of time that…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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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 43 minutes and standard deviation 17 minutes. A researcher observed 47 students who entered the library to study.

If one randomly selected student is timed, find the probability that this student's time will be between 39 and 43 minutes.

For the 47 students, find the probability that their average time studying is between 39 and 43 minutes.

Find the probability that the randomly selected 47 students will have a total study time less than 2162 minutes

The top 10% of the total study time for groups of 47 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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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