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 22 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible.For the 6 students, find the probability that their average time studying is between 41 and 50 minutes. _____________Find the probability that the randomly selected 6 students will have a total study time more than 300 minutes. _______________The top 15% of the total study time for groups of 6 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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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 46 minutes and standard deviation 22 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible.

For the 6 students, find the probability that their average time studying is between 41 and 50 minutes. _____________
Find the probability that the randomly selected 6 students will have a total study time more than 300 minutes. _______________
The top 15% of the total study time for groups of 6 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

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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