Answered: Assuming we have a uniform…

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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Assuming we have a uniform distribution, X, between 12 and 21, calculate the probability that a randomly selected data value will be between 13 and 21.

P(13 < x < 21) =

From a normal distribution with μμ = 35 and σσ = 4.4, samples of size 38 are chosen to create a sampling distribution. In the sampling distribution determine the probability that a sample mean is at least 33.415.

P(33.415 ≤ ¯xx¯) =

For a standard normal distribution, determine the z-score, z₀, such that P(z > z₀) = 0.0812.

z₀ =

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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