If a random variable has a normal distribution with mean 80 and standard deviation 20. what is the probability that it assumes the following values?Less than 77.4Between 61.4 and 72.9Greater than 90.0Less than 67.6 or greater than 88.8Between 92.1 and 95.4Between 75.0 and 84.2Exactly 81.7

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Answered: If a random variable has a normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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If a random variable has a normal distribution with mean 80 and standard deviation 20. what is the probability that it assumes the following values?

Less than 77.4
Between 61.4 and 72.9
Greater than 90.0
Less than 67.6 or greater than 88.8
Between 92.1 and 95.4
Between 75.0 and 84.2
Exactly 81.7

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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