Answered: average playing time of mp3 songs is 35…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The average playing time of mp3 songs is 35 minutes with standard deviation of 5 minutes. If the distribution is normal, what is the proportion that the playing time is longer than 50 minutes?

What is the probability that the score is lower than 75 points when the test score is normally distributed with a mean of 82 points and standard deviation of 9?

How many percent falls on 2 standard deviation from the mean of a normal distribution?

Given that the average number of students taking HUMSS is 103 with standard deviation of 12, 95% of the data falls within how many students?

If the population mean is 28 with standard deviation of 2, what is the interval that falls within 68% of the data?

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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