Answered: Ten water samples are taken from a…

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

Ten water samples are taken from a river:
readings of contaminants in each sample are
shown: 6, 8, 3, 7, 8, 7, 5, 4, 6, 9. The samples
are known to be a normal distribution with
mean 7,5 and standard deviation is 2.1.
(a) Compute the probability that the reading
of a sample is larger than 8
(b) Compute the probability that the sample
mean is larger than 8

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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