Answered: Suppose that a random variable X is…

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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Suppose that a random variable X is normally distributed with a mean of 200 and a variance of
625.
Required:
a) What proportion of X-values lies between 180 and 195? (7)
b) Below what value do 33 per cent of X-values lie? (6)
c) What proportion of X-values are more than 190? (6)
d) What proportion of X-values are less than 195?

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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